(?,q)-Volkenborn integration
| dc.contributor.author | Araci, Serkan | |
| dc.contributor.author | Duran, Ugur | |
| dc.contributor.author | Acikgoz, Mehmet | |
| dc.date.accessioned | 2019-11-13T09:00:01Z | |
| dc.date.available | 2019-11-13T09:00:01Z | |
| dc.date.issued | 2017-02 | |
| dc.department | HKÜ, İktisadi, İdari ve Sosyal Bilimler Fakültesi, İktisat Bölümü | en_US |
| dc.description.abstract | In the paper, we introduce an analogue of Haar distribution based on (rho, q)-numbers, as follows: mu(rho,q) (a + p(N)Z(p)) = rho(pN)/[p(N)](rho,q) (q/rho)(a) By means of this distribution, we derive (rho, q)-analogue of Volkenborn integration which is a new generalization of Kim's q-Volkenborn integration defined in [11]. From this definition, we investigate some properties of Volkenborn integration based on (rho, q)-numbers. Finally, we construct (rho, q)-Bernoulli numbers and polynomials derived from (rho, q)-Volkenborn integral and obtain some their properties. (C) 2016 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.citation | Araci, S., Duran, U., & Acikgoz, M. (February, 2017). (rho, q)-Volkenborn integration. JOURNAL OF NUMBER THEORY, 171, 18-30. | en_US |
| dc.identifier.doi | 10.1016/j.jnt.2016.07.019 | |
| dc.identifier.endpage | 30 | en_US |
| dc.identifier.issn | 0022-314X | |
| dc.identifier.issn | 1096-1658 | |
| dc.identifier.scopus | 2-s2.0-84985955472 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 18 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.jnt.2016.07.019 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.11782/724 | |
| dc.identifier.volume | 171 | en_US |
| dc.identifier.wos | WOS:000386418700002 | |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | en_US |
| dc.relation.ispartof | JOURNAL OF NUMBER THEORY | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/embargoedAccess | en_US |
| dc.subject | q-Volkenborn integral; Carlitz's q-Bernoulli polynomials; (rho, q)-calculus; p-adic number | en_US |
| dc.title | (?,q)-Volkenborn integration | |
| dc.type | Article |
