Title of article :
Construction a novel generating functions for the products of certain numbers and orthogonal polynomials in several variables using the symmetric functions technique
Author/Authors :
Krioui ، Sana Department of Algebra and Number Theory, LATN Laboratory - Mathematics Faculty - University Of Science And Technology Houari Boumediene (USTHB) , Boussayoud ، Ali LMAM Laboratory and Department of Mathematics - Mohamed Seddik Ben Yahia University , Bellagha ، Abdelaziz Department of Algebra and Number Theory, LATN Laboratory - Mathematics Faculty - University Of Science And Technology Houari Boumediene (USTHB)
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
Journal title :
International Journal of Nonlinear Analysis and Applications
Journal title :
International Journal of Nonlinear Analysis and Applications