Construction of a new class of generating functions of binary products of some special numbers and polynomials

Souhila Boughaba, Ali Boussayoud, Serkan Araci, Mohamed Kerada, Mehmet Acikgoz

Abstract


In this paper, we introduce an operator in order to derive some new symmetric properties of k-Fibonacci numbers. By making use of the operator defined in this paper, we give some new generating functions for generalized of product of some special numbers such as k-Fibonacci numbers, k-Pell numbers, Jacobsthal numbers, Fibonacci polynomials and Chebyshev polynomials.

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