An explicit Formula for Bernoulli Polynomials with a $q$ Parameter in Terms of $r$-Whitney Numbers

Autor:	F. A. Shiha
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Algebraic properties Pure mathematics symbols.namesake symbols FOS: Mathematics Cauchy distribution Mathematics - Combinatorics Combinatorics (math.CO) Mathematics Bernoulli polynomials
Popis:	We define the Bernoulli polynomials with a $q$ parameter in terms of $r$-Whitney numbers of the second kind. Some algebraic properties and combinatorial identities of these polynomials are given. Also, we obtain several relations between the Cauchy and Bernoulli polynomials with a $q$ parameter in terms of $r$-Whitney numbers of both kinds. 6 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b4dedf6dc03ff8230f7cc0c26934d8b http://arxiv.org/abs/1804.05437 Zobrazit plný text záznamu