Construction a novel generating functions for the products of certain numbers and orthogonal polynomials in several variables using the symmetric functions technique

Author(s):

Sana Krioui , Ali Boussayoud * , Abdelaziz Bellagha

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, we introduce novel generating functions of the products of k-Fibonacci numbers, k-Lucas numbers, k-Pell numbers, k-Jacobsthal numbers, k-Mersenne numbers and symmetric functions in multiple variables. Accordingly, the novel generating functions are assigned to the other orthogonal Chebyshev polynomials with symmetric functions in multiple variables.
Keywords:

Symmetric functions , Generating functions , k-Fibonacci numbers , k-Lucas numbers , k-Pell numbers , k-Mersenne numbers , Chebishev polynomials

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 10, Oct 2023
Pages:
179 to 198
https://www.magiran.com/p2639616