Advances in the generalized Cesaro polynomials

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dc.authoridOzmen, Nejla/0000-0001-7555-1964
dc.contributor.authorOzmen, N.
dc.contributor.authorErkus-Duman, E.
dc.date.accessioned2025-10-11T20:47:50Z
dc.date.available2025-10-11T20:47:50Z
dc.date.issued2024
dc.departmentDüzce Üniversitesien_US
dc.description.abstractCesa`ro polynomials have been extended in various ways and applied in diverse areas. In this paper, we aim to introduce a multivariable and multiparameter generalization of Cesa`ro polynomials. Then we explore several generating functions, an addition formula, a differential-recurrence relation, a multiple integral formula for this extended Cesa`ro polynomial, as well as a multiple integral formula whose kernel is this extended Cesa`ro polynomial. Also we present several bilinear and bilateral generating functions for this extended Cesa`ro polynomial, two of whose examples are demonstrated.en_US
dc.identifier.doi10.31489/2024M4/159-169
dc.identifier.endpage169en_US
dc.identifier.issn2518-7929
dc.identifier.issn2663-5011
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85214501464en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage159en_US
dc.identifier.urihttps://doi.org/10.31489/2024M4/159-169
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21605
dc.identifier.volume116en_US
dc.identifier.wosWOS:001392525400014en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherKaraganda State Univen_US
dc.relation.ispartofBulletin of the Karaganda University-Mathematics Seriesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectCesa`ro polynomialsen_US
dc.subjectgenerating functionen_US
dc.subjectrecurrence relationen_US
dc.subjecthypergeometric functionen_US
dc.subjectintegral representationen_US
dc.titleAdvances in the generalized Cesaro polynomialsen_US
dc.typeArticleen_US

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