Relationships between Mahler Expansion and Higher Order q-Daehee Polynomials

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Konuralp Journal of Mathematics
Volume:9 Issue:2
Relationships between Mahler Expansion and Higher Order q-Daehee Polynomials

Relationships between Mahler Expansion and Higher Order q-Daehee Polynomials

Authors : Ugur DURAN, Mehmet ACİKGOZ

Pages : 337-341

View : 30 | Download : 15

Publication Date : 2021-10-15

Article Type : Research Paper

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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