dc.contributor.author | Duran, Uğur | |
dc.contributor.author | Açıkgöz, Mehmet | |
dc.date.accessioned | 2020-05-24T14:24:19Z | |
dc.date.available | 2020-05-24T14:24:19Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Duran, U., Açıkgöz, M. (2019). On applications for Mahler expansion associated with p -adic q -integrals International Journal of Number Theory, 15 (1), pp. 67-84. Cited 1 time. https://doi.org/10.1142/S1793042118501737 | en_US |
dc.identifier.issn | 1793-0421 | |
dc.identifier.uri | https://doi.org/10.1142/S1793042118501737 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12508/1070 | |
dc.description.abstract | In this paper, we primarily consider a generalization of the fermionic p-adic q-integral on p including the parameters ? and ? and investigate its some basic properties. By means of the foregoing integral, we introduce two generalizations of q-Changhee polynomials and numbers as q-Changhee polynomials and numbers with weight (??) and q-Changhee polynomials and numbers of second kind with weight (??). For the mentioned polynomials, we obtain new and interesting relationships and identities including symmetric relation, recurrence relations and correlations associated with the weighted q-Euler polynomials, Q-Stirling numbers of the second kind and Stirling numbers of first and second kinds. Then, we discover multifarious relationships among the two types of weighted q-Changhee polynomials and p-adic gamma function. Also, we compute the weighted fermionic p-adic q-integral of the derivative of p-adic gamma function. Moreover, we give a novel representation for the p-adic Euler constant by means of the weighted q-Changhee polynomials and numbers. We finally provide a quirky explicit formula for p-adic Euler constant. © 2019 World Scientific Publishing Company. | en_US |
dc.description.sponsorship | We would like to express our sincere gratitude to the referee for his/her valuable comments and suggestions which have improved the presentation of the paper substantially. The first author is partly supported by TUBITAK BIDEB 2211-A Scholarship Programme. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | World Scientific Publishing Co. Pte Ltd | en_US |
dc.relation.isversionof | 10.1142/S1793042118501737 | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Changhee polynomials | en_US |
dc.subject | Mahler expansion | en_US |
dc.subject | p -adic Euler constant | en_US |
dc.subject | p -adic gamma function | en_US |
dc.subject | p -adic number | en_US |
dc.subject | p -adic q -integral | en_US |
dc.subject | q -calculus | en_US |
dc.subject | q -Changhee polynomials | en_US |
dc.subject | q -Euler polynomials | en_US |
dc.subject | Stirling numbers of the first kind | en_US |
dc.subject | Stirling numbers of the second kind | en_US |
dc.subject.classification | Euler Polynomial | Bernoulli Number | P-Adic Q-Integral | en_US |
dc.subject.classification | Mathematics | |
dc.subject.other | q-calculus | en_US |
dc.subject.other | q-Euler polynomials | en_US |
dc.subject.other | Stirling numbers of the first kind | en_US |
dc.subject.other | Stirling numbers of the second kind | en_US |
dc.subject.other | Changhee polynomials | en_US |
dc.subject.other | q-Changhee polynomials | en_US |
dc.subject.other | p-adic q-integral | en_US |
dc.subject.other | p-adic gamma function | en_US |
dc.subject.other | Mahler expansion | en_US |
dc.subject.other | p-adic Euler constant | en_US |
dc.subject.other | p-adic number | en_US |
dc.title | On applications for Mahler expansion associated with p-adic q-integrals | en_US |
dc.type | article | en_US |
dc.relation.journal | International Journal of Number Theory | en_US |
dc.contributor.department | Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü | en_US |
dc.identifier.volume | 15 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 67 | en_US |
dc.identifier.endpage | 84 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.contributor.isteauthor | Duran, Uğur | en_US |
dc.relation.index | Web of Science - Scopus | |
dc.relation.index | Web of Science Core Collection - Science Citation Index Expanded | |