Some Identities of the Degenerate Multi-Poly-Bernoulli Polynomials of Complex Variable

Author:

Muhiuddin G.1ORCID,Khan W. A.2,Duran U.3ORCID,Al-Kadi D.4

Affiliation:

1. Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

2. Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O Box 1664, Al Khobar 31952, Saudi Arabia

3. Department of the Basic Concepts of Engineering, Faculty of Engineering and Natural Sciences, Iskenderun Technical University, TR-31200 Hatay, Turkey

4. Department of Mathematics and Statistic, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

Abstract

In this paper, we introduce degenerate multi-poly-Bernoulli polynomials and derive some identities of these polynomials. We give some relationship between degenerate multi-poly-Bernoulli polynomials degenerate Whitney numbers and Stirling numbers of the first kind. Moreover, we define degenerate multi-poly-Bernoulli polynomials of complex variables, and then, we derive several properties and relations.

Funder

Taif University Researchers Supporting Project

Publisher

Hindawi Limited

Subject

Analysis

Reference29 articles.

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2. A degenerate Staudt-Clausen theorem

3. Degenerate Bernoulli numbers and polynomials associated with degenerate Hermite polynomials;H. Haroon;Communication of the Korean Mathematical Society,2018

4. Note on the Type 2 Degenerate Multi-Poly-Euler Polynomials

5. A note on degenerate Stirling polynomials of the second kind;T. Kim;Proc. Jangjeon Math. Soc.,2017

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