DOAJ Open Access 2024

Advances in the generalized Cesàro polynomials

N. Özmen E. Erkuş-Duman

Abstrak

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.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

N. Özmen

E. Erkuş-Duman

Format Sitasi

APA MLA BibTeX

Özmen, N., Erkuş-Duman, E. (2024). Advances in the generalized Cesàro polynomials. https://doi.org/10.31489/2024m4/159-169

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.31489/2024m4/159-169
Akses: Open Access ✓