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dc.contributor.authorSaad, Husam Lutien_US
dc.contributor.authorAbdalwahid Arif, Mahmooden_US
dc.date.accessioned2023-10-10T17:40:10Z
dc.date.available2023-10-10T17:40:10Z
dc.date.issued2023-10
dc.identifier.citationSaad, H. L. & Abdalwahid Arif, M. (2023). The homogeneous q-difference operator and the related polynomials. TWMS Journal Of Applied And Engineering Mathematics, 13(4), 1537-1550.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5734
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/current/122-vol13no4/1135
dc.description.abstractWe create the homogeneous q-difference operator Ee(a, b; ?) as an extension of the exponential operator E(b?). A new polynomials hn(a, b, x|q?1) are defined as an extension of the q?1-Rogers-Szegö polynomial hn(a, b|q?1). We provide an operator proof of the generating function and its extension, Rogers formula and the invers linearization formula, and Mehler’s formula for the polynomials hn(a, b|q?1). The generating function and its extension, Rogers formula and the invers linearization formula, and Mehler’s formula for the polynomials hn(a, b|q?1) are deduced by giving special values to parameters of a new polynomial hn(a, b, x|q?1).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 q−1-Rogers-Szegö polynomialen_US
dc.subjectThe generating functionen_US
dc.subjectThe Rogers formulaen_US
dc.subjectThe invers linearization formulaen_US
dc.subjectThe Mehler’s formulaen_US
dc.titleThe homogeneous q-difference operator and the related polynomialsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume13
dc.identifier.issue4
dc.identifier.startpage1537
dc.identifier.endpage1550
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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