New Properties of Analytic Functions

Autor: Hatun Özlem Güney, Shigeyoshi Owa
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematics, Vol 12, Iss 10, p 1469 (2024)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math12101469
Popis: In the present paper, we consider the class A¯ of functions f(z) of the form f(z)=z+∑k=1∞a1+k3z1+k3 that are analytic in the open unit disc U. If a1+k3=0 for k≠3n(n=1,2,3,⋯), then f(z) is given by f(z)=z+∑k=2∞akzk. For such functions f(z)∈A¯, some interesting properties for subordinations and strongly starlike functions are given. Also, some interesting examples for the results are shown.
Databáze: Directory of Open Access Journals
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