Submitted:
19 August 2019
Posted:
20 August 2019
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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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