On p-adic gamma function related to q-Daehee polynomials and numbers
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Duran, Ugur ; Açikgöz, Mehmet [1]
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[1] University of Gaziantep
University of Gaziantep
Turquía
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- Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 4, 2019, págs. 799-810
- Idioma: inglés
- DOI: 10.22199/issn.0717-6279-2019-04-0052
- Enlaces
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Resumen
In this paper, we investigate p-adic q-integral (q-Volkenborn integral) on of p-adic gamma function via their Mahler expansions. We also derived two -Volkenborn integrals of p-adic gamma function in terms of q-Daehee polynomials and numbers and q-Daehee polynomials and numbers of the second kind. Moreover, we discover q-Volkenborn integral of the derivative of p-adic gamma function. We acquire the relationship between the p-adic gamma function and Stirling numbers of the first kind. We finally develop a novel and interesting representation for the p -adic Euler constant by means of the q-Daehee polynomials and numbers.
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