Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Note on Type 2 Degenerate Multi-Poly-Bernoulli Polynomials and Numbers

Version 1 : Received: 1 August 2020 / Approved: 3 August 2020 / Online: 3 August 2020 (00:28:39 CEST)

How to cite: Khan, W.A.; Khan, A.; Duran, U. A Note on Type 2 Degenerate Multi-Poly-Bernoulli Polynomials and Numbers. Preprints 2020, 2020080057 (doi: 10.20944/preprints202008.0057.v1). Khan, W.A.; Khan, A.; Duran, U. A Note on Type 2 Degenerate Multi-Poly-Bernoulli Polynomials and Numbers. Preprints 2020, 2020080057 (doi: 10.20944/preprints202008.0057.v1).

Abstract

Inspired by the definition of degenerate multi-poly-Genocchi polynomials given by using the degenerate multi-polyexponential functions. In this paper, we consider a class of new generating function for the degenerate multi-poly-Bernoulli polynomials, called the type 2 degenerate multi-poly-Bernoulli polynomials by means of the degenerate multiple polyexponential functions. Then, we investigate their some properties and relations. We show that the type 2 degenerate multi-poly-Bernoulli polynomials equals a linear combination of the weighted degenerate Bernoulli polynomials and Stirling numbers of the first kind. Moreover, we provide an addition formula and a derivative formula. Furthermore, in a special case, we acquire a correlation between the type 2 degenerate multi-poly-Bernoulli numbers and degenerate Whitney numbers.

Subject Areas

Bernoulli polynomials; Degenerate multi-polyexponential functions; Degenerate multi-poly-Bernoulli polynomials; Degenerate Stirling numbers; Degenerate Whitney numbers

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.