| dc.creator | Duran, Ugur | |
| dc.creator | Açikgöz, Mehmet | |
| dc.date | 2019-10-22 | |
| dc.identifier | https://www.revistaproyecciones.cl/article/view/3107 | |
| dc.identifier | 10.22199/issn.0717-6279-2019-04-0052 | |
| dc.description | 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. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/article/view/3107/3254 | |
| dc.rights | Copyright (c) 2019 Ugur Duran, Mehmet Açikgöz | en-US |
| dc.rights | http://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol 38 No 4 (2019); 799-810 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 38 Núm. 4 (2019); 799-810 | es-ES |
| dc.source | 0717-6279 | |
| dc.subject | p-adic numbers | en-US |
| dc.subject | p-adic gamma function | en-US |
| dc.subject | p-adic Euler constant | en-US |
| dc.subject | Mahler expansion | en-US |
| dc.subject | q-Daehee polynomials | en-US |
| dc.subject | Stirling numbers of the first kind | en-US |
| dc.subject | 05A10 | en-US |
| dc.subject | Factorials, binomial coefficients, combinatorial functions | en-US |
| dc.subject | 05A30 | en-US |
| dc.subject | q-calculus and related topics | en-US |
| dc.subject | 11B65 | en-US |
| dc.subject | Binomial coefficients; factorials; q-identities | en-US |
| dc.subject | 11S80 | en-US |
| dc.subject | Other analytic theory (analogues of beta and gamma functions, p-adic integration, etc.) | en-US |
| dc.subject | 33B15 | en-US |
| dc.subject | Gamma, beta and polygamma functions | en-US |
| dc.title | On p-adic gamma function related to q-Daehee polynomials and numbers | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
| dc.type | text | en-US |
