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

	Construction a novel generating functions for the products of certain numbers and orthogonal polynomials in several variables using the symmetric functions technique
International Journal of Nonlinear Analysis and Applications
مقاله 17، دوره 14، شماره 10، دی 2023، صفحه 179-198 اصل مقاله (438.38 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29432.4163
نویسندگان
Sana Sana Krioui¹؛ Ali Boussayoud^* ²؛ Abdelaziz Abdelaziz Bellagha¹
¹Mathematics Faculty, Department of Algebra and Number Theory, LATN Laboratory, USTHB, BP32, Bab Ezzouar, Algiers, Algeria
²LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
چکیده
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.
کلیدواژه‌ها
Symmetric functions؛ Generating functions؛ k-Fibonacci numbers؛ k-Lucas numbers؛ k-Pell numbers؛ k-Mersenne numbers؛ Chebishev polynomials
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