Author(s)
Omprakash Sikhwal, Devanshi Tutorial, Keshw Kunj, Mandsaur (M.P.), India
Yashwant Vyas, Research Scholar, Faculty of Science, Pacific Academy of Higher Education and Research University, Udaipur, (Raj.) India

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 study the so-called generalized Fibonacci polynomials: with and where is any integer. Further we give some fundamental properties about the generalized Fibonacci polynomials.

Keywords
Fibonacci polynomials, Generalized Fibonacci polynomials, Generating function, Binet’s Formula

Cite this paper
Omprakash Sikhwal, Yashwant Vyas, Generalized Fibonacci Polynomials and Some Fundamental Properties, SCIREA Journal of Mathematics. Vol. 1 , No. 1 , 2016 , pp. 16 - 23 .

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