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dc.contributor.authorAbdlhusein, Mohammed Abdalien_US
dc.date.accessioned2020-10-06T09:43:46Z
dc.date.available2020-10-06T09:43:46Z
dc.date.issued2015
dc.identifier.citationAbdlhusein, M. A. (2015). The generalized Hahn polynomials. TWMS Journal of Applied and Engineering Mathematics, 5(2), 231-248.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttps://hdl.handle.net/11729/2565
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/90-vol5no2/220
dc.description.abstractIn this paper, we represent the generalized Hahn polynomials ϕ(a)n (x, y) by the Cauchy operator for deriving its identities: generating function, Mehler’s formula, Rogers formula (with some of its applications), Rogers-type formula, extended generating function, extended Mehler’s formula, extended Rogers formula and another extended identities. Also, the Rogers-type formula for the bivariate (generalized) (classical) Rogers-Szeg¨o polynomials will be given by two methods. Then we give the q-integral representation for the generalized Hahn polynomials, bivariate Rogers-Szeg¨o polynomials, and the generalized Rogers-Szegö polynomials.en_US
dc.language.isoengen_US
dc.publisherIşık University Pressen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectHahn polynomialsen_US
dc.subjectCauchy operatoren_US
dc.subjectGenerating functionen_US
dc.subjectExtended Mehler’s formulaen_US
dc.subjectQ-integralen_US
dc.titleThe generalized Hahn polynomialsen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal of Applied and Engineering Mathematicsen_US
dc.identifier.volume5
dc.identifier.issue2
dc.identifier.startpage231
dc.identifier.endpage248
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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