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dc.contributor.authorSaad, Husam Lutien_US
dc.contributor.authorJaber, Rasha Hadien_US
dc.date.accessioned2022-04-05T15:24:35Z
dc.date.available2022-04-05T15:24:35Z
dc.date.issued2022
dc.identifier.citationSaad, H. L. & Jaber, R. H. (2022). Application of the operator φ ((a,b,c@d,e); q,ƒDq) for the polynomials Yn(a, b, c; d, e; x, y|q). TWMS Journal Of Applied And Engineering Mathematics, 12(2), 691-702.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3849
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/115-vol12no2/854
dc.description.abstractIn this paper, we construct the exponential operator φ((a,b,c@d,e); q,ƒDq) that has five parameters a, b, c, d, e and we define a more general polynomials Yn(a, b, c; d, e; x, y|q), in which case, the bivariate Rogers-Szeg¨o polynomials hn(x, y|q) become special cases of Yn(a, b, c; d, e; x, y|q). Furthermore, we involve the operator’s technique to give an elegant proof for the generating function with its extension, Mehler’s formula with its extension, and Rogers formula for the polynomials Yn(a, b, c; d, e; x, y|q). As well as, we present some special values for the parameters a, b, c, d, e that will be inserted in the identities of Yn(a, b, c; d, e; x, y|q) in order to establish the generating function and its extension, Mehler’s formula and its extension, and the Rogers formula for hn(x, y|q).en_US
dc.language.isoenen_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.subjectThe bivariate Rogers-Szegö polynomialsen_US
dc.subjectThe generating functionen_US
dc.subjectMehler’s formulaen_US
dc.subjectRogers formulaen_US
dc.titleApplication of the operator φ ((a,b,c@d,e); q,ƒDq) for the polynomials Yn(a, b, c; d, e; x, y|q)en_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.identifier.volume12
dc.identifier.issue2
dc.identifier.startpage691
dc.identifier.endpage702
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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