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Özmen N., Erkuş-Duman E.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, vol.116, no.4, pp.159-169, 2024 (ESCI)
Abstract
Cesàro 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 Cesàro polynomials. Then we explore several generating functions, an addition formula, a differential-recurrence relation, a multiple integral formula for this extended Cesàro polynomial, as well as a multiple integral formula whose kernel is this extended Cesàro polynomial. Also we present several bilinear and bilateral generating functions for this extended Ces`aro polynomial, two of whose examples are demonstrated.