Starlike Functions Associated with Bernoulli’s Numbers of Second Kind

Autor: Mohsan Raza, Mehak Tariq, Jong-Suk Ro, Fairouz Tchier, Sarfraz Nawaz Malik
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Axioms, Vol 12, Iss 8, p 764 (2023)
Druh dokumentu: article
ISSN: 12080764
2075-1680
DOI: 10.3390/axioms12080764
Popis: The aim of this paper is to introduce a class of starlike functions that are related to Bernoulli’s numbers of the second kind. Let φBS(ξ)=ξeξ−12=∑n=0∞ξnBn2n!, where the coefficients of Bn2 are Bernoulli numbers of the second kind. Then, we introduce a subclass of starlike functions 𝟊 such that ξ𝟊′(ξ)𝟊(ξ)≺φBS(ξ). We found out the coefficient bounds, several radii problems, structural formulas, and inclusion relations. We also found sharp Hankel determinant problems of this class.
Databáze: Directory of Open Access Journals
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