Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Maragheh
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT). The uniqueness lies in utilizing a generalized discrete probability distribution and a zero-truncated Poisson distribution combined with generalized Gegenbauer polynomials featuring two variables. We aim to obtain coefficient bounds, the classical Fekete-Szego inequality, and Hankel and Toeplitz determinants to generalize the probability of a gambler's ruin. Additionally, using the defined bi-univalent function classes contributes to the uniqueness of the obtained results.
Açıklama
Anahtar Kelimeler
Bi-univalent function, Gegenbauer polynomials, Discrete probability, Hankel and Toeplitz determinants, Zero-truncated-Poisson series
Kaynak
Sahand Communications in Mathematical Analysis
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
21
Sayı
3
