Symmetric and generating functions of generalized (p,q)-numbers

Autor:	Ali Boussayoud, Nabiha Saba, Abdelhamid Abderrezzak
Rok vydání:	2021
Předmět:	Symmetric function Combinatorics Sequence Multidisciplinary Fibonacci number Lucas number Generalization Product (mathematics) Mathematics
Zdroj:	Kuwait Journal of Science. 48
ISSN:	2307-4116 2307-4108
DOI:	10.48129/kjs.v48i4.10074
Popis:	In this paper, we will firstly define a new generalization of numbers (p, q) and then derive the appropriate Binet's formula and generating functions concerning (p,q)-Fibonacci numbers, (p,q)- Lucas numbers, (p,q)-Pell numbers, (p,q)-Pell Lucas numbers, (p,q)-Jacobsthal numbers and (p,q)-Jacobsthal Lucas numbers. Also, some useful generating functions are provided for the products of (p,q)-numbers with bivariate complex Fibonacci and Lucas polynomials.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a4601d086ce6018de8ad308117e214df https://doi.org/10.48129/kjs.v48i4.10074 Zobrazit plný text záznamu