Ozmen, N.Erkus-Duman, E.2025-10-112025-10-1120242518-79292663-5011https://doi.org/10.31489/2024M4/159-169https://hdl.handle.net/20.500.12684/21605Cesa`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.en10.31489/2024M4/159-169info:eu-repo/semantics/openAccessCesa`ro polynomialsgenerating functionrecurrence relationhypergeometric functionintegral representationArticle11641591692-s2.0-85214501464WOS:001392525400014Q3N/A