On a singular integral equation including a set of multivariate polynomials suggested by Laguerre polynomials

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dc.contributor.author	Özarslan, Mehmet Ali
dc.date.accessioned	2017-10-23T08:04:34Z
dc.date.available	2017-10-23T08:04:34Z
dc.date.issued	2014
dc.identifier.issn	0096-3003(print)
dc.identifier.issn	1873-5649(online)
dc.identifier.uri	http://dx.doi.org/10.1016/j.amc.2013.12.050
dc.identifier.uri	http://hdl.handle.net/11129/3436
dc.description	Due to copyright restrictions, the access to the publisher version (published version) of this article is only available via subscription. You may click URI and have access to the Publisher Version of this article through the publisher web site or online databases, if your Library or institution has subscription to the related journal or publication.	en_US
dc.description.abstract	In this paper, we introduce the class of polynomials Zn1,…,nj(α)(x1,…,xj;ρ1,…,ρj) suggested by the multivariate Laguerre polynomials. We give Schläfli’s contour integral representation and calculate the fractional order integral of these polynomials. Furthermore, we obtain linear, multilinear and mixed multilateral generating functions for them. Finally, we construct a singular integral equation with Zn1,…,nj(α)(x1,…,xj;ρ1,…,ρj) in the kernel and obtain the solution in terms of multivariate analogue of the Mittag–Leffler functions.	en_US
dc.language.iso	eng	en_US
dc.publisher	Elsevier	en_US
dc.relation.isversionof	10.1016/j.amc.2013.12.050	en_US
dc.rights	info:eu-repo/semantics/closedAccess	en_US
dc.subject	MATHEMATICS, APPLIED, FAMILIES, KONHAUSER SETS, Generating functions,	en_US
dc.subject	Mittag-Leffler function, Contour integral representation, Laplace transform,	en_US
dc.subject	Multivariate Laguerre polynomials, Singular integral equation,	en_US
dc.subject	Fractional integrals and derivatives, BIORTHOGONAL POLYNOMIALS	en_US
dc.title	On a singular integral equation including a set of multivariate polynomials suggested by Laguerre polynomials	en_US
dc.type	article	en_US
dc.relation.journal	Applied Mathematics and Computation	en_US
dc.contributor.department	Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics	en_US
dc.identifier.volume	229	en_US
dc.identifier.startpage	350	en_US
dc.identifier.endpage	358	en_US