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http://hdl.handle.net/11129/3440
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| Title: | Singular integral equation involving a multivariable analog of Mittag-Leffler function |
| Authors: | Gaboury, Sebastien
Özarslan, Mehmet Ali
Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics |
| Keywords: | Functional Analysis, fractional integrals and derivatives, Mathematics
Difference and Functional Equations, Partial Differential Equations
contour integral representation, singular integral equation
Mittag-Leffler function, Analysis, Ordinary Differential Equations,
Mathematics, general, APPLIED, LAGUERRE-POLYNOMIALS |
| Issue Date: | 2014 |
| Publisher: | Springer International Publishing |
| 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. |
| Description: | The file in this item is the publisher version (published version) of the article. |
| URI: | http://dx.doi.org/10.1186/1687-1847-2014-252
http://hdl.handle.net/11129/3440 |
| ISSN: | 1687-1847, 1687-1839(print)
1687-1847(online) |
| Appears in Collections: | MAT – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Mathematics
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