Singular integral equation involving a multivariable analog of Mittag-Leffler function
| dc.contributor.author | Gaboury, Sebastien | |
| dc.contributor.author | Özarslan, Mehmet Ali | |
| dc.date.accessioned | 2017-10-23T08:06:19Z | |
| dc.date.available | 2017-10-23T08:06:19Z | |
| dc.date.issued | 2014 | |
| dc.department | Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics | en_US |
| dc.description | The file in this item is the publisher version (published version) of the article. | en_US |
| dc.description.abstract | Motivated by the recent work of the second author (Özarslan in Appl. Math. Comput. 229:350-358, 2014), we present, in this paper, some fractional calculus formulas for a mild generalization of the multivariable Mittag-Leffler function, a Schläfli's type contour integral representation, some multilinear and mixed multilateral generating functions; and, finally, we consider a singular integral equation with the function [InlineEquation not available: see fulltext.] in the kernel and we provide its solution. MSC: 26A33, 33E12. | en_US |
| dc.identifier.doi | 10.1186/1687-1847-2014-252 | |
| dc.identifier.endpage | 10 | en_US |
| dc.identifier.issn | 1687-1847, 1687-1839(print) | |
| dc.identifier.issn | 1687-1847(online) | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-84934984179 | |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.startpage | 1 | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1186/1687-1847-2014-252 | |
| dc.identifier.uri | https://hdl.handle.net/11129/3440 | |
| dc.identifier.volume | 2014 | en_US |
| dc.identifier.wos | WOS:000342159800006 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Scopus | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | |
| dc.publisher | Springer International Publishing | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Functional Analysis, fractional integrals and derivatives, Mathematics | en_US |
| dc.subject | Difference and Functional Equations, Partial Differential Equations | en_US |
| dc.subject | contour integral representation, singular integral equation | en_US |
| dc.subject | Mittag-Leffler function, Analysis, Ordinary Differential Equations, | en_US |
| dc.subject | Mathematics, general, APPLIED, LAGUERRE-POLYNOMIALS | en_US |
| dc.title | Singular integral equation involving a multivariable analog of Mittag-Leffler function | en_US |
| dc.type | Article |
