Article
Version 1
This version is not peer-reviewed
Relationships between Mahler Expansion and Higher Order q-Daehee Polynomials
Version 1
: Received: 16 March 2019 / Approved: 18 March 2019 / Online: 18 March 2019 (10:17:08 CET)
Version 2 : Received: 19 August 2019 / Approved: 20 August 2019 / Online: 20 August 2019 (11:17:13 CEST)
Version 2 : Received: 19 August 2019 / Approved: 20 August 2019 / Online: 20 August 2019 (11:17:13 CEST)
How to cite: Duran, U.; Acikgoz, M. Relationships between Mahler Expansion and Higher Order q-Daehee Polynomials. Preprints 2019, 2019030179 Duran, U.; Acikgoz, M. Relationships between Mahler Expansion and Higher Order q-Daehee Polynomials. Preprints 2019, 2019030179
Abstract
In this paper, we derive multifarious relationships among the two types of higher order q-Daehee polynomials and p-adic gamma function via Mahler theorem. Also, we compute some weighted p-adic q-integrals of the derivative of p-adic gamma function related to the Stirling numbers of the both kinds and the q-Bernoulli polynomials of order k.
Keywords
q-numbers, p-adic numbers, p-adic gamma function, Mahler expansion, Bernoulli polynomials, Daehee polynomials, Stirling numbers of the first kind, Stirling numbers of the second kind.
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment