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

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dc.contributor.authorÖzarslan, Mehmet Ali
dc.date.accessioned2017-10-23T08:04:34Z
dc.date.available2017-10-23T08:04:34Z
dc.date.issued2014
dc.departmentEastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematicsen_US
dc.descriptionDue 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.abstractIn 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.identifier.doi10.1016/j.amc.2013.12.050
dc.identifier.endpage358en_US
dc.identifier.issn0096-3003(print)
dc.identifier.issn1873-5649(online)
dc.identifier.scopus2-s2.0-84891842309
dc.identifier.scopusqualityQ1
dc.identifier.startpage350en_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.amc.2013.12.050
dc.identifier.urihttps://hdl.handle.net/11129/3436
dc.identifier.volume229en_US
dc.identifier.wosWOS:000331989700034
dc.identifier.wosqualityQ1
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherElsevieren_US
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMATHEMATICS, APPLIED, FAMILIES, KONHAUSER SETS, Generating functions,en_US
dc.subjectMittag-Leffler function, Contour integral representation, Laplace transform,en_US
dc.subjectMultivariate Laguerre polynomials, Singular integral equation,en_US
dc.subjectFractional integrals and derivatives, BIORTHOGONAL POLYNOMIALSen_US
dc.titleOn a singular integral equation including a set of multivariate polynomials suggested by Laguerre polynomialsen_US
dc.typeArticle

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