Relationships between Mahler Expansion and Higher Order q-Daehee Polynomials

Year 2021, Volume: 9 Issue: 2 , 337 - 341 , 15.10.2021

Ugur Duran , Mehmet Acikgoz

https://izlik.org/JA37UY52TB

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

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