On p-adic gamma function related to q-Daehee polynomials and numbers

Abstract In this paper, we investigate p-adic q-integral (q-Volkenborn integral) on Z p of p-adic gamma function via their Mahler expansions. We also derived two q-Volkenborn integrals of p-adic gamma function in terms of q-Daehee polynomials and numbers and q-Daehee polynomials and numbers of the s...

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Autores principales:	Duran,Uğur, Açikgöz,Mehmet
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2019
Materias:	p-adic numbers, p-adic gamma function p-adic Euler constant Mahler expansion q-Daehee polynomials Stirling numbers of the first kind.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000400799
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spelling	oai:scielo:S0716-091720190004007992019-11-04On p-adic gamma function related to q-Daehee polynomials and numbersDuran,UğurAçikgöz,Mehmet p-adic numbers, p-adic gamma function p-adic Euler constant Mahler expansion q-Daehee polynomials Stirling numbers of the first kind. Abstract In this paper, we investigate p-adic q-integral (q-Volkenborn integral) on Z p of p-adic gamma function via their Mahler expansions. We also derived two q-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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.4 20192019-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000400799en10.22199/issn.0717-6279-2019-04-0052
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	p-adic numbers, p-adic gamma function p-adic Euler constant Mahler expansion q-Daehee polynomials Stirling numbers of the first kind.
spellingShingle	p-adic numbers, p-adic gamma function p-adic Euler constant Mahler expansion q-Daehee polynomials Stirling numbers of the first kind. Duran,Uğur Açikgöz,Mehmet On p-adic gamma function related to q-Daehee polynomials and numbers
description	Abstract In this paper, we investigate p-adic q-integral (q-Volkenborn integral) on Z p of p-adic gamma function via their Mahler expansions. We also derived two q-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.
author	Duran,Uğur Açikgöz,Mehmet
author_facet	Duran,Uğur Açikgöz,Mehmet
author_sort	Duran,Uğur
title	On p-adic gamma function related to q-Daehee polynomials and numbers
title_short	On p-adic gamma function related to q-Daehee polynomials and numbers
title_full	On p-adic gamma function related to q-Daehee polynomials and numbers
title_fullStr	On p-adic gamma function related to q-Daehee polynomials and numbers
title_full_unstemmed	On p-adic gamma function related to q-Daehee polynomials and numbers
title_sort	on p-adic gamma function related to q-daehee polynomials and numbers
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000400799
work_keys_str_mv	AT duranu287ur onpadicgammafunctionrelatedtoqdaeheepolynomialsandnumbers AT acikgozmehmet onpadicgammafunctionrelatedtoqdaeheepolynomialsandnumbers
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On p-adic gamma function related to q-Daehee polynomials and numbers

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