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)
How to cite:
Duran, U.; Acikgoz, M. Relationships between Mahler Expansion and Higher Order q-Daehee polynomials. Preprints2019, 2019030179. https://doi.org/10.20944/preprints201903.0179.v2
Duran, U.; Acikgoz, M. Relationships between Mahler Expansion and Higher Order q-Daehee polynomials. Preprints 2019, 2019030179. https://doi.org/10.20944/preprints201903.0179.v2
Duran, U.; Acikgoz, M. Relationships between Mahler Expansion and Higher Order q-Daehee polynomials. Preprints2019, 2019030179. https://doi.org/10.20944/preprints201903.0179.v2
APA Style
Duran, U., & Acikgoz, M. (2019). Relationships between Mahler Expansion and Higher Order q-Daehee polynomials. Preprints. https://doi.org/10.20944/preprints201903.0179.v2
Chicago/Turabian Style
Duran, U. and Mehmet Acikgoz. 2019 "Relationships between Mahler Expansion and Higher Order q-Daehee polynomials" Preprints. https://doi.org/10.20944/preprints201903.0179.v2
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.
Commenter: Ugur Duran
Commenter's Conflict of Interests: Author