New results on the q-generalized Bernoulli polynomials of level m

Author:

Urieles Alejandro1,Ortega María José2,Ramírez William2,Vega Samuel2

Affiliation:

1. Programa de Matemática Universidad del Atlántico , Barranquilla Colombia

2. Departamento de Ciencias Naturales y Exactas , Universidad de la Costa , Barranquilla Colombia

Abstract

Abstract This paper aims to show new algebraic properties from the q-generalized Bernoulli polynomials B n [ m - 1 ] ( x ; q ) B_n^{[m - 1]}(x;q) of level m, as well as some others identities which connect this polynomial class with the q-generalized Bernoulli polynomials of level m, as well as the q-gamma function, and the q-Stirling numbers of the second kind and the q-Bernstein polynomials.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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