Advances in the generalized Cesaro polynomials
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Karaganda State Univ
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Cesa`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.
Açıklama
Anahtar Kelimeler
Cesa`ro polynomials, generating function, recurrence relation, hypergeometric function, integral representation
Kaynak
Bulletin of the Karaganda University-Mathematics Series
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
116
Sayı
4
