Homogeneous symmetric functions and new generating functions for products of some numbers with bivariate Mersenne and bivariate Mersenne Lucas polynomials

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Document Type : Original paper

Authors

1 Department of Mathematics,University Ferhat Abbas Setif1, Algeria Laboratory of Mathematics and their Interactions, Abd el Hafidh Boussof University center of Mila, Algeria

2 LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria

3 Department of mathematics, M’sila University, M’sila, Algeria Laboratory of Pure and Applied Mathematics, Algeria

Abstract

The aim of this paper is to provide some operators for symmetric functions for the purpose of obtaining new generating functions for products of k-Fibonacci, $K$-Lucas and $k$-Jacobsthal numbers, $K$-Mersenne numbers bivariate complex Fibonacci poly nomials and Cheb yshev poly nomials with bivariate Mersenne and bivariate Mersenne Lucas polynomials .

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References

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Communications in Combinatorics and Optimization

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Available Online from 03 September 2025

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