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dc.contributor.authorDuran, Uğur
dc.contributor.authorAçıkgöz, Mehmet
dc.date.accessioned2020-05-24T15:32:07Z
dc.date.available2020-05-24T15:32:07Z
dc.date.issued2019
dc.identifier.citationDuran, U., Acikgoz, M. (2019). A Study on Novel Extensions for the p-adic Gamma and p-adic Beta Functions. Mathematical & Computational Applications, 24(2), 53. https://doi.org/10.3390/mca24020053en_US
dc.identifier.issn1300-686X
dc.identifier.issn2297-8747
dc.identifier.urihttps://doi.org/10.3390/mca24020053
dc.identifier.urihttps://hdl.handle.net/20.500.12508/1211
dc.descriptionWOS: 000483307400020en_US
dc.description.abstractIn this paper, we introduce the (rho, q)-analog of the p-adic factorial function. By utilizing some properties of (rho, q)-numbers, we obtain several new and interesting identities and formulas. We then construct the p-adic (rho, q)-gamma function by means of the mentioned factorial function. We investigate several properties and relationships belonging to the foregoing gamma function, some of which are given for the case p = 2. We also derive more representations of the p-adic (rho, q)-gamma function in general case. Moreover, we consider the p-adic (p, q)-Euler constant derived from the derivation of p-adic (rho, q)-gamma function at x = 1. Furthermore, we provide a limit representation of aforementioned Euler constant based on (rho, q)-numbers. Finally, we consider (rho, q)-extension of the p-adic beta function via the p-adic (rho, q)-gamma function and we then investigate various formulas and identities.en_US
dc.language.isoengen_US
dc.publisherMdpien_US
dc.relation.isversionof10.3390/mca24020053en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectP-adic numbersen_US
dc.subjectP-adic factorial functionen_US
dc.subjectP-adic gamma functionen_US
dc.subjectP-adic beta functionen_US
dc.subjectP-adic Euler constanten_US
dc.subject(rho, q)-numbersen_US
dc.subject.classificationMathematicsen_US
dc.subject.classificationInterdisciplinary Applicationsen_US
dc.titleA Study on Novel Extensions for the p-adic Gamma and p-adic Beta Functionsen_US
dc.typearticleen_US
dc.relation.journalMathematical and Computational Applicationsen_US
dc.contributor.departmentMühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümüen_US
dc.contributor.authorID0000-0002-5717-1199en_US
dc.contributor.authorID0000-0003-1091-9697en_US
dc.identifier.volume24en_US
dc.identifier.issue2en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.isteauthorDuran, Uğuren_US
dc.relation.indexWeb of Science Core Collection - Emerging Sources Citation Indexen_US


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