Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Novel Kind of the Type 2 Poly-Fubini Polynomials and Numbers

Version 1 : Received: 23 September 2020 / Approved: 24 September 2020 / Online: 24 September 2020 (11:35:42 CEST)

How to cite: Khan, W. A Novel Kind of the Type 2 Poly-Fubini Polynomials and Numbers. Preprints 2020, 2020090581. https://doi.org/10.20944/preprints202009.0581.v1 Khan, W. A Novel Kind of the Type 2 Poly-Fubini Polynomials and Numbers. Preprints 2020, 2020090581. https://doi.org/10.20944/preprints202009.0581.v1

Abstract

Motivation by the definition of the type 2 poly-Bernoulli polynomials introduced by Kim-Kim [9], in the present paper, we consider a new class of new generating function for the Fubini polynomials, called the type 2 poly-Fubini polynomials by means of the polyexponential function. Then, we derive some useful relations and properties. We show that the type 2 poly-Fubini polynomials equal a linear combination of the classical of the Fubini polynomials and Stirling numbers of the first kind. In a special case, we give a relation between the type 2 poly-Fubini polynomials and Bernoulli polynomials of order r. Moreover, inspired by the definition of the unipoly-Bernoulli polynomials introduced by Kim-Kim [9]. We introduce the type 2 unipoly-Fubini polynomials by means of unipoly function and give multifarious properties including derivative and integral properties. Furthermore, we provide a correlation between the unipoly-Fubini polynomials and the classical Fubini polynomials.

Keywords

Polyexponential functions, type 2 poly-Fubini polynomials, unipoly functions.

Subject

Computer Science and Mathematics, Mathematics

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)
* All users must log in before leaving a comment
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.