Working Paper Article Version 1 This version is not peer-reviewed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)

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.

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.

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