Preprint Article Version 1 This version is not peer-reviewed

Notes on $q$-Hermite Based Unified Apostol Type Polynomials

Version 1 : Received: 6 May 2019 / Approved: 7 May 2019 / Online: 7 May 2019 (11:20:54 CEST)

How to cite: Khan, W. Notes on $q$-Hermite Based Unified Apostol Type Polynomials. Preprints 2019, 2019050077 (doi: 10.20944/preprints201905.0077.v1). Khan, W. Notes on $q$-Hermite Based Unified Apostol Type Polynomials. Preprints 2019, 2019050077 (doi: 10.20944/preprints201905.0077.v1).

Abstract

In this article, a new class of $q$-Hermite based unified Apostol type polynomials is introduced by means of generating function and series representation. Several important formulas and recurrence relations for these polynomials are derived via different generating methods. We also introduce $q$-analog of Stirling numbers of second kind of order $\nu$ by which we construct a relation including aforementioned polynomials.

Subject Areas

$q$-Hermite type polynomials, $q$-unified Apostol type polynomials, $q$-Hermite based unified Apostol type polynomials.

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.