New results on the q-generalized Bernoulli polynomials of level m-Reference-Cited by-同舟云学术

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

Published:2019-01-01 Issue:1 Volume:52 Page:511-522
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

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

Link

https://www.degruyter.com/document/doi/10.1515/dema-2019-0039/pdf

Reference27 articles.

1. [1] Natalini P., Bernardini A., A generalization of the Bernoulli polynomials, J. Appl. Math., 2003, 3, 155–163

2. [2] Carlitz L., q-Bernoulli numbers and polynomials, Duke Math., 1948, 15, 987–1000

3. [3] Choi J., Anderson P., Srivastava H. M., Carlitz’s q-Bernoulli and q-Euler numbers and polynomials and a class of q-Hurwitz zeta functions, Appl. Math. Comput., 2009, 215, 1185–1208

4. [4] Ernst T., q-Bernoulli and q-Euler polynomials, an umbral approach, Int. J. Difference Equ., 2006, 1, 31–80

5. [5] Hegazi A. S., Mansour M., A note on q-Bernoulli numbers and polynomials, J. Nonlinear Math. Phys., 2006, 13(1), 9–18

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