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dc.contributor.authorSaad, Husam Lutien_US
dc.contributor.authorHassan, Hassan J.en_US
dc.date.accessioned2023-04-06T11:21:10Z
dc.date.available2023-04-06T11:21:10Z
dc.date.issued2023-04
dc.identifier.citationSaad, H. L. & Hassan, H. J. (2023). Applications of the operator rɸs in q-polynomials. TWMS Journal Of Applied And Engineering Mathematics, 13(2), 696-709.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5494
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/119-vol13no2/1001
dc.description.abstractWe establish r?s as a general operator for many q-operators. A new polynomials hn(a1, · · · , ar; b1, · · · , bs; x, y; q) are described as an extension of the bivariate Rogers-Szegö polynomial hn(x, y|q) and the generalized Al-Salam–Carlitz q-polynomials ? n (a,b) (x, y|q). With the use of the operator r?s, we provide an operator proof of the generating function and its extension, Mehler’s formula and its extension and Rogers formula and its extension to the polynomials hn(a1, · · · , ar; b1, · · · , bs; x, y; q). The generating function and its extension, Mehler’s formula and its extension and Rogers formula and its extension for hn(x, y|q) and ? n (a,b) (x, y|q) are deduced by giving special values to parameters of a new polynomial hn(a1, · · · , ar; b1, · · · , bs; 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 q-operatorsen_US
dc.subjectThe bivariate Rogers-Szegö polynomialsen_US
dc.subjectThe generalized AlSalam–Carlitz q-polynomialsen_US
dc.subjectGenerating functionen_US
dc.subjectMehler’s formulaen_US
dc.subjectRogers formulaen_US
dc.titleApplications of the operator r?s in q-polynomialsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume13
dc.identifier.issue2
dc.identifier.startpage696
dc.identifier.endpage709
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.indekslendigikaynakScopusen_US


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