Construction a novel generating functions for the products of certain numbers and orthogonal polynomials in several variables using the symmetric functions technique
نویسندگان
1 LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
2 Mathematics Faculty, Department of Algebra and Number Theory, LATN Laboratory, USTHB, BP32, Bab Ezzouar, Algiers, Algeria
3 Mathematics Faculty, Department of Algebra and Number Theory, LATN Laboratory, USTHB, BP32, Bab Ezzouar, Algiers, Algeria
doi
10.22075/ijnaa.2023.29432.4163چکیده
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.
