Title

Complete and elementary symmetric functions in several variables and orthogonal polynomials.

Authors

Zerroug, Hassina; Boussayoud, Ali; Abderrezzak, Abdelhamid; Kerada, Mohamed

Abstract

In this paper. we first derive some new generating functions of the products of κ-Fibonacci numbers, κ-Lucas numbers. κ-Pell numbers. κ-Jacobsthal numbers. κ-Mersenne numbers and symmetric function in several variables. After that. we give the new' generating functions for the products of the other orthogonal Chebyshev polynomials with symmetric function in several variables.

Subjects

CHEBYSHEV polynomials; GENERATING functions; ORTHOGONAL polynomials; JACOBI polynomials; SYMMETRIC functions

Publication

Nonlinear Studies, 2022, Vol 29, Issue 1, p329

ISSN

1359-8678

Publication type

Academic Journal