Preprint Article Version 2 This version is not peer-reviewed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)

How to cite: Duran, U.; Acikgoz, M. Relationships between Mahler Expansion and Higher Order q-Daehee polynomials. Preprints 2019, 2019030179 (doi: 10.20944/preprints201903.0179.v2). Duran, U.; Acikgoz, M. Relationships between Mahler Expansion and Higher Order q-Daehee polynomials. Preprints 2019, 2019030179 (doi: 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.

Subject Areas

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.

Comments (1)

Comment 1
Received: 20 August 2019
Commenter: Ugur Duran
Commenter's Conflict of Interests: Author
Comment: -
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