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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 | ||
| تاریخ دریافت: 15 دی 1401، تاریخ پذیرش: 14 تیر 1402 | ||
| 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 | ||
| مراجع | ||
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