- Konuralp Journal of Mathematics
- Vol: 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 Acikgoz
Pages : 337-341
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Publication Date : 2021-10-15
Article Type : Research
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