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dc.contributor.authorAdnan Abdul-Ghani, Samaheren_US
dc.contributor.authorSaad, Husam Lutien_US
dc.date.accessioned2024-04-02T19:56:13Z
dc.date.available2024-04-02T19:56:13Z
dc.date.issued2024-04
dc.identifier.citationAdnan Abdul-Ghani, S. & Saad, H. L. (2024). Applications of the generalized homogeneous q-shift operator in q-polynomials. TWMS Journal Of Applied And Engineering Mathematics, 14(2), 473-494.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5944
dc.identifier.urihttps://jaem.isikun.edu.tr/web/index.php/current/124-vol14no2/1190
dc.description.abstractIn this paper, we construct the generalized homogeneous q-shift operatör r?s ( a1, · · · , ar b1, · · · , bs ; q, cDxy). Then, we apply this operator to derive some q-identities such as: the generating function and its extension, Rogers formula and its extension, Mehler’s formula and its extension, Srivastava-Agarwal type bilinear generating functions for the polynomials ?(a,b)n (x, y, c|q). Also, we obtain a transformation formula involving generating functions for ?(a,b)n (x, y, c|q). We provide some special values for ?(a,b)n (x, y, c|q) in order to establish identities for the polynomials ?(a)n (x) and ?(a,b)n (x, y|q).en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_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 homogeneous q-difference operatoren_US
dc.subjectThe homogeneous q-shift operatoren_US
dc.subjectq-Hahn polynomialsen_US
dc.subjectThe generalized Al-Salam-Carlitz q-polynomialsen_US
dc.subjectGenerating functionen_US
dc.subjectRogers formulaen_US
dc.subjectMehler’s formulaen_US
dc.titleApplications of the generalized homogeneous q-shift operator in q-polynomialsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume14
dc.identifier.issue2
dc.identifier.startpage473
dc.identifier.endpage494
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US


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