dc.contributor.author | Duran, Uğur | |
dc.contributor.author | Açıkgöz, Mehmet | |
dc.contributor.author | Aracı, Serkan | |
dc.date.accessioned | 12.07.201910:50:10 | |
dc.date.accessioned | 2019-07-12T22:06:28Z | |
dc.date.available | 12.07.201910:50:10 | |
dc.date.available | 2019-07-12T22:06:28Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Duran, U., Acikgoz, M., Araci, S. (2018). Research on some new results arising from multiple q-calculus. Filomat, 32 (1), pp. 1-9.
https://doi.org/10.2298/FIL1801001D | en_US |
dc.identifier.issn | 0354-5180 | |
dc.identifier.uri | https://doi.org/10.2298/FIL1801001D | |
dc.identifier.uri | https://hdl.handle.net/20.500.12508/725 | |
dc.description | WOS: 000428736000001 | en_US |
dc.description.abstract | In this paper, we develop the theory of the multiple q-analogue of the Heine's binomial formula, chain rule and Leibniz's rule. We also derive many useful definitions and results involving multiple q-antiderivative and multiple q-Jackson's integral. Finally, we list here multiple q-analogue of some elementary functions including trigonometric functions and hyperbolic functions. This may be a good consideration in developing the multiple q-calculus in combinatorics, number theory and other fields of mathematics. | en_US |
dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBITAK); Hasan Kalyoncu University | en_US |
dc.description.sponsorship | The first author is thankful to The Scientific and Technological Research Council of Turkey (TUBITAK) for their support with the Ph.D. scholarship. The third author of this paper is also supported by the research fund of Hasan Kalyoncu University in 2018. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | University of Nis | en_US |
dc.relation.isversionof | 10.2298/FIL1801001D | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Quantum calculus | en_US |
dc.subject | Multiple quantum calculus | en_US |
dc.subject | Trigonometric functions | en_US |
dc.subject | Hyperbolic functions | en_US |
dc.subject | Jackson's integral | en_US |
dc.subject.classification | Mathematics | en_US |
dc.subject.classification | Applied | en_US |
dc.subject.classification | Euler Polynomial | Bernoulli Number | P-Adic Q-Integral | en_US |
dc.subject.other | Q-extensions | en_US |
dc.subject.other | Euler | en_US |
dc.subject.other | Polynomials | en_US |
dc.subject.other | Bernoulli | en_US |
dc.title | Research on Some New Results Arising from Multiple q-Calculus | en_US |
dc.type | article | en_US |
dc.relation.journal | Filomat | en_US |
dc.contributor.department | Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü | en_US |
dc.contributor.authorID | 0000-0002-5717-1199 | en_US |
dc.contributor.authorID | 0000-0003-1091-9697 | en_US |
dc.contributor.authorID | 0000-0002-3950-6864 | en_US |
dc.identifier.volume | 32 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 1 | en_US |
dc.identifier.endpage | 9 | 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 | en_US |
dc.relation.index | Web of Science Core Collection - Science Citation Index Expanded | en_US |