ISSN: 2995-5823
Volume 10, Number 3 (2025)
Year Launched: 2016
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SCIREA Journal of Mathematics (ISSN: 2995-5823)
SCIREA Journal of Mathematics is an international, scientific peer-reviewed open access journal published online by SCIREA.
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Volume 10, Issue 3, June 2025
Abstract: Goodness of fit tests indicate whether or not it is reasonable to assume that a random sample comes from a specific probability distribution. Again, it is established in the literature that the logistic distribution is a well-known probability model that, with very few exceptions, behaves similarly to the normal distributio
Volume 10, Issue 2, April 2025
Abstract: This article proves that using generalized cosine and generalized sine to calculate the distance between two points in a good affine coordinate system is simpler and more accurate than using tangent and cotangent and table look-up in a Cartesian coordinate system.
Abstract: Multi-beam bathymetry is an important means to improve the efficiency of seabed topographic surveying, so it is of great significance to study the layout of multi-beam survey lines for ocean surveying and mapping. Based on basic mathematical principles, this paper mainly applies the relevant mathematical knowledge of solid
Volume 10, Issue 1, February 2025
Abstract: As we all know, Pythagorean theorem is aimed at right triangle. In this paper, Pythagorean theorem is extended to any triangle except equilateral triangle, generalized Pythagorean theorem is introduced, so that the so-called Pythagorean number becomes history and no longer exists, and it is very simple to judge whether a tr
Abstract: Using generalized cosine and sine , a new method for calculating the distance between two points in a plane coordinate system and a polar coordinate system is given. The new method shows that using the Pythagorean theorem to calculate the distance between two points in a Cartesian coordinate system is the most troublesome!
Volume 9, Issue 5, October 2024
Abstract: The production of a specific type of part entails a lengthy assembly process, concluding with a short firing period in a furnace. Given the high operational costs of the furnace, multiple assemblers share a single furnace, which can fire only one part at a time. The objective of this study is to determine the optimal number
Abstract: In this paper, we establish the color version of identities in (right) alternative algebras.
Volume 9, Issue 4, August 2024
Abstract: This paper firstly proves the validity of the generalized syllogism MMI-4 with the quantifiers in Square{most} and Square{some}, and then making full use of the relevant definitions, facts, and reasoning rules to infer the other 20 valid generalized ones from the syllogism MMI-4. In other words, there are reducible relation
Abstract: This paper focuses on the validity and reducibility of the non-trivial generalized syllogisms with the quantifiers in Square{some} and Square{fewer than half of the}. To this end, this paper firstly presents knowledge representations of generalized syllogisms, and then proves the validity of the syllogism FMO-3, and subsequ
Volume 9, Issue 3, June 2024
Abstract: The generalized modified Bessel distribution is one of the most suitable mixed distributions. It is the result of mixing the normal distribution with the generalized inverse Gaussian distribution.
In this paper, The optimal sample size Analysis has been taken from the generalized modified Bessel population to estimate
In this paper, The optimal sample size Analysis has been taken from the generalized modified Bessel population to estimate
Abstract: Using a primitive formulation of the circle method together with a random number generator , which is based on the naive notion of randomness, we prove there exists an infinite number of twin primes. Then we show that a deduction, crucial to the proof, which is immediately implied by , is false.
Volume 9, Issue 2, April 2024
Abstract: On the basis of set theory, propositional logic and generalized quantifier theory, this paper indicates that the other 23 valid syllogisms can be only derived from the syllogism IAI-4. These derivations use the symmetry of quantifiers no and some, the definitions of inner and outer negation of Aristotelian quantifiers, dedu
Abstract: In this paper, we study the existence and uniqueness of solutions for Hadamard fractional sequential differential systems involving the Hadamard fractional derivative with orders α ∈ (1,2] and β ∈ (2,3]. The main tools in our study are Banach fixed point theorem and schauder fixed point theorem. An example is provided to il
Abstract: In this paper, we study the existence of solutions for quasi-linear fractional differential equations with non-local condition using the Schauder fixed point theorem in Banach space. Later, we discuss a particular example which satisfies all the existence conditions.
Volume 9, Issue 1, February 2024
Abstract: In the present paper we establish, that the universe is eternal, that is it has no beginning and no end in the time. If we accept the original Big Bang theory, i.e. that the universe has arose from an extremely small, dense and hot fireball by an unique big bang and an inflation which continues until now, then we pr
Abstract: The simple and feasible methods for screening valid generalized modal syllogisms are as follows: (1) First, prove the validity of a generalized syllogism, then add at least one necessary modality (□) or possible modality (◇) to this syllogism, (2) Secondly, according to the basic fact that the conclusion of a modal syllogis
Volume 8, Issue 5, October 2023
Abstract: This work mainly investigates the bifurcation problems and topological classifications of a discrete phytoplankton-zooplankton model, whose continuous version was proposed by Truscott and Brindley in 1994. The model is derived by using the semi-discretization technique. Within this study, trivial and semi-trivial fixed poi
Abstract: In the calculus class, some students were confused by the expression of Inverse Function in two forms, which causes difficulties in understanding how to calculate the derivative of Inverse Function. It was because they were taught to denote independent variable only by using x in high school. In order to help them understan
Volume 8, Issue 4, August 2023
Abstract: In this work and in the context of the preparation of the Doctoral Dissertation on the subject "Study of Mathematical Modeling for Creation and Mining of Knowledge with the aim of producing new Evaluation Models - Certification of Resource Management Criteria with the help of IT, conducting a Comparative Study and Applicati
Abstract: We give the set of algebraic points of degree ≤5 over Q on the hyperelliptic curveC: y²=6x(x^4+3). This result extends a previous result of Bruin of who described in [1] the set of Q-rational points on this curve.
Volume 8, Issue 3, June 2023
Abstract: Syllogistic reasoning plays a crucial part in natural language information processing. For the purpose of providing a consistent interpretation for Aristotelian modal syllogistic, this paper firstly proves the validity of the syllogism EI◇O-2, and then takes it as the basic axiom to derive the other 38 valid modal syllogism
Abstract: We pose various congruences on the integers of form 6^n\ +\ 1, n\ \in\ Z_+, which may encourage younger number theorists to do research in number theory and settle new dimensions in this field. We saw that there are only three prime numbers, namely 7,\ 37, and 1297 of form 6^n\ +\ 1, whenever n\ \in\ Z_+-{{2}^km,\ k\geq6,\
Volume 8, Issue 2, April 2023
Abstract: Air transportation is the most appropriate option for extremely vast distances, such as those between cities, provinces, and countries. While unpredictability, high volatility, and seasonality sometimes result in complex behavior in air passenger time series, this research applies the Singular Spectrum Analysis technique fo
Abstract: In this paper, we define the set (CF_(T_n,(n))(X_n))^{A^s} of all n-ary C-formulas on the partial algebraic system A^s=(A;(f^A_i)_i in I,r^A) of type (T_n,(n)) and define the operation R^{n,A} on the set( (W^C_{T_n}(X_n))^{A^s}U(CF_(T_n,(n))(X_n))^{A^s}. After this definition we have a unitary Menger algebra ( ( (W
Volume 8, Issue 1, February 2023
Abstract: The formula of the $p$-adic valuation of the sequence $C_n(l)=\prod_{k=1}^{n}\prod_{j=0}^{l}(2k+2j-1)$ is studied. It is proved that $C_n(l)$ is not a square if $l$ is even and $n\ge \max\{2l,\frac{3l+19}{5}\}$. It is proved also that there are many squares in the sequences $C_n(1)$ and $C_n(3)$, while there are no squares
Abstract: This essay describes orbits of particles passing near the sun, first according to Newton’s celestial mechanics and then according to Einstein’s general theory of relativity. Attempts to verify the latter by observing the deflection of light during total solar eclipses are mentioned. Confirmation also comes from mea- sureme
Abstract: The covariance matrix, employed for measuring the linear correlation between variables, plays a vital role in data analysis, such as statistical prediction and hypothesis testing. When the data dimension is high, the traditional sample covariance matrix is not an ideal estimator of the population covariance matrix anymore,
Volume 7, Issue 6, December 2022
Abstract: This work is inspired by our recent work of giving a counterexample to the classical complex analysis (SCIREA Journal of Math. (6)4(2019), pp. 189-193).
Abstract: The famous Stirling’s formula is generalized and improved, by using the arguments of analytic number theory and mathematical analysis.
Abstract: In this paper, the minimal norm least squares solution of matrix equations (AXC,BXD,AXD,BXC)=(E,F,G,H) is discussed, by using the projection theorem, the generalized singular value decomposition and the canonical correlation decomposition, the expression of the solution of this problem is obtained.
Abstract: Counterexamples are given to residue theorem of complex analysis. The functional equation of Riemann zeta-function is invalid.
Volume 7, Issue 5, October 2022
Abstract: The article considers a method for solving a nonlinear programming problem. This method uses special feedback functions that describe the relationship between direct variables and Lagrange multipliers. These relations are similar to the conditions of the Karush-Kuhn-Tucker theorem, but do not use inequalities in their notat
Volume 7, Issue 4, August 2022
Abstract: This paper discusses the minimax estimator of parameter for binomial distribution. The likelihood function is constructed based on the probability function of the Binomial distribution. The posterior distribution is obtained from the joint of the likelihood function and prior distribution. Furthermore, the Bayes estimato
Volume 7, Issue 3, June 2022
Abstract: The author has published recently (2021) a book having the title [1] Numerical Method to select an Analytical Polynomial Solution for Linear or Nonlinear Elliptic Partial Differential Equations of second order
The book can be freely downloaded from the blumenfeld.ro website. It was written during the isolation p
The book can be freely downloaded from the blumenfeld.ro website. It was written during the isolation p
Volume 7, Issue 2, April 2022
Abstract: In the modern big data environment, Stochastic gradient descent is an important method for training neural networks, processing largescale data sets, optimization, etc. Deeply welcomed in various fields. With regard to SGD, the existing literature considers the stopping condition of parameter iteration. In fact, some unimp
Volume 7, Issue 1, February 2022
Abstract: In this paper we consider the structure of Dedekind in some developed cryptosystems. In one case, the structure exists with respect to a key, and in the other case, the structure exists with respect to two alphabets. The second part of this paper is an appendix that considers the applications of polynomial composites and mo
Abstract: This is a fundamental result. What is the basic nature the intermolecular attraction forces? These questions were not thought off earlier. All the earlier conclusions were oriented towards finding the value of inter molecular attraction forces. We took the nature of these forces to be Newtonian Gravitation attraction forces
Volume 6, Issue 6, December 2021
Abstract: Let G_n^6 represents the class connected 6-cyclic graphs. In this paper, first some result isderived for the characterization of class connected 6-cyclic graphs. Then we find minimum degree distance of class of connected of 6-cyclic graph.
Abstract: In this work, we determine the set of algebraic points of degree at most Q over on the curve C given by the affine equation y^{2}= 4x^{5}+1. This result extends a result of Andrew R. Booker, Jeroen Sijsling, Andrew V. Sutherland, John Voight and Dan Yasak who described in [1] the set of rational points on this curve
Abstract: Dengue Hemorrhagic Fever (DHF) is a disease caused by an arbovirus that enters the human body through the Aedes aegypti or Aedes albopictus mosquito. Dengue Hemorrhagic Fever (DHF) is characterized by symptoms of dengue fever; headache; reddish skin that looks like measles; and muscle and joint pain. In some patients, dengu
Abstract: For the past few years, the meshless method has played a great advantage in solving partial differential equations. In this paper, a local meshless method based on moving least square and local radial basis functions is used to solve the inverse problem of heat conduction equation. The inverse problem is determination of a
Volume 6, Issue 5, October 2021
Abstract: In this paper, we establish the comparison principles via the perturbation method for the equation 
in 
, where 
is a highly degenerate and h- homogeneous operator associ
in , where is a highly degenerate and h- homogeneous operator associ
Volume 6, Issue 4, August 2021
Abstract: This paper presents a Bayesian analysis of the parameters for the inverse Gaussian distribution under the Jeffrey’s prior assuming a quadratic loss function. Analysis begins with the parameterization to the parameters in the distribution, then construct the posterior distribution based the likelihood function and prior, w
Volume 6, Issue 3, June 2021
Abstract: This study was devoted to extend Cav(u) theorem for repeated games with one-sided incomplete information. The model considered in this paper was based on the typical Aumann-Maschler model. According to the properties of Wasserstein distance, the Cav(u) theorem for repeated games with one-sided incomplete information was gen
Volume 6, Issue 2, April 2021
Abstract: B-Banach space is an extension of Banach space, which provides a suitable framework for studying many analytical problems. The uniform boundedness theorem is is the basic theorem in functional analysis and has many important applications in many field, such as matrix analysis, operator theory, and numerical analysis. In this
Volume 6, Issue 1, February 2021
Abstract: For the well-known nonlinear oscillation equation, we consider a nonlinear mixed characteristic problem, which is a nonlinear analogue of the Darboux problem and consists in the simultaneous definition of a solution and its regular propagation domain. The question of solvability of the formulated problem is solved by the me
Abstract: Geneva mechanisms have been used to obtain an output intermittent circular motion by the means of a continuous circular motion. It offers the option of having a rest time with between motions in the output link. This paper is intended to provide the geometric resolution of this mechanisms via number of steps and diameter of
Volume 5, Issue 5, October 2020
Abstract: A block random model, studied earlier in economics is introduced for biological sciences. Two approaches which handle participants as species and participants as individuals give pictures on processes from different points of view. In ecology it can provide an opportunity for some intervention to avoid development of danger
Volume 5, Issue 4, August 2020
Abstract: The purpose of the present paper is to consider new classes of generalized compact spaces called Еc-(resp. δ-ßc)-compact spaces via Еc-(resp. δ-ßc)-open sets respectively. Several characterizations and fundamental properties concerning of these forms of spaces are obtained. Moreover, some new types of separation axioms in t
Volume 5, Issue 3, June 2020
Abstract: The RAFU functions have been studied in [1, 2, 3, 4, 5 and 6]. They are useful in Approximation Theory to approach continuous functions and to reconstruct continuous functions. In this work we will use the RAFU functions to turn a discontinuous function into a continuous function. We will show the explicit expression of a s
Volume 5, Issue 2, April 2020
Abstract: Common fixed point, generalized (ψ,φ) weak contraction, complete metric spaces
Abstract: Abstract: The order of addition experiment is increasingly used in many scientific fields, such as chemistry，biology and medicine. The existing literature considers order of addition rather than amount combination. In this paper, we consider order of addition experiments with amount effects. A new proposed model incorporate
Volume 5, Issue 1, February 2020
Abstract: Background The twin prime conjecture is considered as a classic puzzle in the history of number theory and one of the most famous conjectures, which has always puzzled us. At the International Congress of Mathematicians in 1900, mathematician David Hilbert presented 23 important mathematical problems and conjectures
Volume 4, Issue 6, December 2019
Abstract: The development of Smart Cities that know our word today depends on the development of the IoT, in this context IoT are applied to develop and optimize may current and future sectors of activities like: health care, home automation, transportation, public services and others. The major issues of safety and comfort in trad
Abstract: A counterexample is given in Complex analysis.
Volume 4, Issue 5, October 2019
Abstract: In this paper, we investigate the countercyclical buffer addressed in the Basel III framework. The ‘countercyclical buffer ‘targets at the extenuation of the supposedly harmful behavior of bank capital. The size of the buffer after the stepwise growths during the application stage finally reaches 2.5%. Therefore, the presen
Abstract: A Pell Fermat equation and its two classes of solutions are discussed. We give a formula for the pairs of positive solutions, written with the Pell numbers, and some new identities involving these numbers. We build an invariant modulo 4 for each class of solutions.
Abstract: Lung cancer is one of the most aggressive types of cancer, and the possibility to detect it at an early stage can save a lot of patient lives worldwide. Building an automated lung cancer detection system can help to speed up the process of cancer detection and save human lives. This article considers three different approac
Volume 4, Issue 4, August 2019
Abstract: Earning profit is always the paramount issue for investors. Many factors have been proved to affect stock returns, although information uncertainty is rarely discussed. This study examines how the effect of investors’ sentiments on stock returns and trading volumes is moderated by information uncertainty. Text mining techno
Abstract: In this paper, we present two new approximants for the Error Function. The starting point for obtaining them, is to use two alternative integral representations involving improper integrals. Both integrands include the function. Therefore, by replacing by its truncated Taylor's expansion, we obtain a rational approximan
Volume 4, Issue 3, June 2019
Abstract: The present study considered the thermal convection of ferrofluids along a flat plate subject to uniform heat flux and slip velocity in the presence of radiation with a magnetic field applied in the transverse direction. Two different types of ferrofluids are considered: one magnetic nanoparticle (Fe_3 O_4) and one non-magn
Volume 4, Issue 2, April 2019
Abstract: The Crank-Nicolson and upwind difference schemes are used to solve the one dimensional convection-diffusion equation. Then the numerical solutions obtained and the exact solution are implemented to estimate the parameters, i.e. the convection and diffusion coefficients in this type equation by the least squares method. The
Abstract: On April 12, 2018 Dr. Ana-Maria Croica gave a presentation as NSF-Target Infusion Program Seminar Series. Her topic is “An Optimal Control Model to Reduce and Eradicate Anthrax Disease in Herbivorous Animals. This research is based on Saad-Roy’s Mathematical Model of Anthrax Transmission in Animal Population. I was impre
Volume 4, Issue 1, February 2019
Abstract: In this paper we consider cases of the existence of the moments of functions of random variables supported on a bounded interval. Our attention is restricted to the tan function, as a generalization of the Cauchy distribution which is infact the result of applying this function to a uniformly distributed variable.
Abstract: To find out the impact of Internet on Residents’ Consumption Structure and Regional Differences, panel data analysis and experimental study were used to analyze China’s provincial panel data from 2003 to 2016. The results show that from the overall level of the country, the Internet development plays a significant role in p
Volume 3, Issue 3, June 2018
Abstract: We study the composite odd numbers via their indices with a function ranging through all of them. This mapping allows us to demonstrate that the set of these indices are described with two families of finite sequences with arithmetic differences. Composite odd numbers are then shown to be obtained as differences of two squa
Abstract: We propose a new algorithm solving the extended gcd problem, which provides a solution minimizing one of the two coordinates. The algorithm relies on elementary arithmetic properties.
Volume 3, Issue 2, April 2018
Abstract: Science is a matter of asking for information by specifying the difference between fact and opinion. Fact in a scientific context is a generally accepted reality, but still open to scientific inquiry, as opposed to an absolute truth, which is not a part of science. The hypotheses and theories are generally based on objectiv
Volume 3, Issue 1, February 2018
Abstract: In this paper, the existence of limit cycles for a class of nonlinear systems is explored. Based on the time-domain approach with differential and integral inequalities, the phenomenon of the stable limit cycle can be accurately verified for such nonlinear systems. Furthermore, the exponentially stable limit cycles, frequen
Abstract: Radical arithmetic electronic controllers for automatic control of industrial processes, base their operating principle on the use of new mathematical equations deduced specifically for this purpose and they have been reviewed and approved by MsC. Maria Victoria Mederos, professor at the Faculty of mathematics and computer
Abstract: In the present paper, we study basic properties of digital n-dimensional manifolds and digital simply connected spaces. An important property of a digital n-manifold is that M is a digital n-sphere if and only if for any point v of M, M-v is a digital n-disk. It is proved that a digital (n-1)-sphere S
Abstract: This paper at first isolates a group of Monty Hall problems, in which all doors are exhaustively chosen, swapped and revealed one by one, then introduces a new variant of briefer tree diagrams for the conditional probability calculation of three-doors and four-doors, and finally gives the recurrence form for n-doors and its
Abstract: A numerical investigation of an unsteady MHD natural convection flow past an impulsively moving plate with ramped temperature. The dimensionless governing coupled, non- linear boundary layer partial differential equations are solved by a finite element method. The effects of the various dimensionless parameters entering int
Volume 2, Issue 3, December 2017
Abstract: In this paper, by introducing the concept of a generalized concave operator and the properties of cone and monotone iterative technique in ordered Banach spaces, some new existence and uniqueness theorems of fixed points for the operator under more extensive conditions are obtained. Finally, as applications, we apply the re
Volume 2, Issue 2, April 2017
Abstract: In this paper we consider the first general theories of multi-objective mathematical programming. They stem from optimization techniques in economics and are attributed to the economists Francis Edgeworth and Vilfredo Pareto. We will focus our attention on these ideas from a mathematical point of view.
Abstract: Over the past six years, I have integrated student engagement through inquiry- and project-based learning into college mathematics instructions. I attended many workshops about using computation modeling in the classroom supports student learning and reduces student anxiety. Through dynamic modeling students can connect Ma
Volume 2, Issue 1, February 2017
Abstract: Let be the JS-imprimitive of that is . This group has order 48 and is generated by the matrices... ...
Volume 1, Issue 2, December 2016
Abstract: Investors wish to minimize the risk and achieve the target rate of return in their investment. The mean-extended Gini model has been proposed in portfolio optimization to minimize the portfolio risk. The mean is used as the expected return of the investors and extended Gini is used as risk measure. The objective function of
Abstract: In this paper, the mathematical model of biological water treatment by spatial filter was designed. The algorithm of numerical-asymptotic approximation of the solution of the corresponding model problem was developed. It describes a system of nonlinear singularly perturbed differential equations, such as "convection-diffusi
Abstract: The tourism industry is an increasingly important national industry for Malaysia. Government policymakers and business managers pay close attention to the development of the tourism industry. In this study, two machine learning methods, artificial neural network (ANN) and support vector machine (SVM) were utilized to predic
Volume 1, Issue 1, October 2016
Abstract: This research considers the Bayesian inference & ranking of the domestic News TV channels using method of paired comparisons. Results for analysis are computed in C language and programs’ coding are executed for seven parametric model’s inference. Furthermore, to ensure the appropriateness of the model, the goodness of fit
Abstract: Various sequences of polynomials by the names of Fibonacci and Lucas polynomials occur in the literature over a century. Generalization of the Fibonacci polynomial has been done using various approaches. One usually found in the literature that the generalization is done by varying the initial conditions. In this paper we s
Abstract: In this article, the notion of different types of statistically convergent and statistically null fuzzy real-valued sequences having multiplicity greater than two is introduced. Some algebraic and topological properties such as solid, monotone, symmetric, convergence free, sequence algebra etc. of these spaces are studied.
Abstract: This presents a refined approach for computing integral and product operators by using the rich properties of Legendre wavelet.The most advantages of this refined calculations are that the operational matrices are lower dimensions, coarse and its elements are the same on each subinterval, respectively. The operational matri
Abstract: In this work we will introduce and study a generalized zeta function of the general Hurwitz – Lerch zeta functions. Here, we aim to derive basic properties of generalized zeta function for the general Hurwitz – Lerch zeta functions include some integral representations for several general Hurwitz – Lerch zeta functions a
Abstract: In past many years, biomathematics population models are constructed based on plausible explicit and implicit biological assumptions. In the case that not enough analysis is carried out for a well-motivated and plausible model, the result is no or minimum insights gained. In this study, existence of Hopf bifurcations of a n
Abstract: Abstract In this paper, the global, non-vacuum solutions with large amplitude to the initial-boundary value problem of the one-dimensional compressible Navier-Stokes-Poisson system with viscosity and heat conductivity coefficients are considered. The proof is based on the analysis on the positive lower and upper bounds on
Abstract: Healthcare industry plays an important role in the society and attracts the attention of the public nowadays. Healthcare industry has played a vital role in this world to provide goods and services to enhance quality of life, life expectancy, diagnostic and treatment options as well as the efficiency and cost effectiveness
Abstract: Sequences have been fascinating topic for mathematicians for centuries. The Fibonacci and Lucas sequences are examples of second order recursive sequences. Fibonacci sequence is defined by In recent years, few research scholars have been introduced Fibonacci-Like sequences which are similar to Fibonacci sequences in recur
Abstract: An estimation procedure for Ornstein–Uhlenbeck process drift and volatility coefficients is given. The procedure is based on the maximum likelihood principle andplug-in-estimator.
Abstract: Free Replication Hull (FRH) is a special case of the CCR DEA problem in which the convexity axiom is excluded from the PPS of the CCR model and the intensity variables are restricted to the whole numbers. In this paper we propose MAJ-FRH, similar to the ranking method in data envelopment analysis proposed by Mehrabian et al
Abstract: The out-of-kilter algorithm is one of the basic algorithms that solve the minimum cost flow problem. The aim of this paper is to shows that if the dual of out of kilter formulation has optimal solution then it has integer optimal solution too
Abstract: Solutions to the Navier-Stokes equations for the Millenium Prize Problem are provided. These consist of a transient Pile-Up flow. A proof is given to show that the flow functions satisfy the Boundary Conditions at infinity. The proof for the spatial derivatives of velocity, u, and force, f, relies on decomposition of an exp
Abstract: In this paper, we consider additive pulsating Fibonacci sequences. First, we are introduced additive pulsating Fibonacci sequences of first and second kind. Further, explicit formulas in the form of its members are formulated and proved for additive pulsating Fibonacci sequences of first and second kind.
Abstract: The Fibonacci polynomials and Lucas polynomials are famous for possessing wonderful and amazing properties and identities. In this paper, Generalized Fibonacci polynomials are introduced and study its properties. Further, some recurrence relations state and derive for generalized Fibonacci polynomials.
Abstract: Rational points on elliptic curves are considered, in the formulation of BSD, and for nonlinear dynamical systems. Method used is the intersection with other curves, for a more general expression of an elliptic curve, known as an extended elliptic curve. It is found that there are elliptic curves with at most 3 rational sol
Abstract: The article discusses some of the mathematical results widely used in practice which contain the Riemann ζ-function, and, at first glance, are in contradiction with common sense. A geometric approach is suggested, based on the concept of the curvature of space, in which is calculated an algorithm that specifies the represe