Singular integral equation involving a multivariable analog of Mittag-Leffler function

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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.identifier.issn	1687-1847, 1687-1839(print)
dc.identifier.issn	1687-1847(online)
dc.identifier.uri	http://dx.doi.org/10.1186/1687-1847-2014-252
dc.identifier.uri	http://hdl.handle.net/11129/3440
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.language.iso	eng	en_US
dc.publisher	Springer International Publishing	en_US
dc.relation.isversionof	10.1186/1687-1847-2014-252	en_US
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	en_US
dc.relation.journal	Advances in Difference Equations	en_US
dc.contributor.department	Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics	en_US
dc.identifier.volume	2014	en_US
dc.identifier.issue	1	en_US
dc.identifier.startpage	1	en_US
dc.identifier.endpage	10	en_US