Generalization of Jack’s Lemma for Functions With Fixed Initial Coefficient and Its Applications
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Published:2024-06-14
Issue:2
Volume:69
Page:317-334
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ISSN:0252-1938
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Container-title:Studia Universitatis Babes-Bolyai Matematica
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language:
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Short-container-title:Stud. Univ. Babes-Bolyai Math.
Author:
, Alavi RogayehORCID, Shams Saied, , Aghalary RasoulORCID,
Abstract
In this paper, by using the theory of differential subordination, we will generalize Jack’s lemma for functions with fixed initial coefficient. Then extensions of the well-known open-door lemma for analytic and meromorphic functions with fixed initial coefficient are given. Also, we are considering some applications of the extension of Jack’s lemma.
Keywords: Analytic functions, differential subordination, fixed initial coefficient, meromorphic functions, Nunokawa’s lemma, open-door lemma.
Publisher
Babes-Bolyai University Cluj-Napoca
Reference13 articles.
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