On extensions of the Jack and open-door lemmas

Abstract In the present paper, we apply the theory of differential subordination to extend the famous Jack lemma for analytic functions. Also, using this extension we will produce new versions of the open-door lemma for analytic functions, and utilizing them some simple conditions for starlikeness o...

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Bibliographic Details
Published in:Journal of Inequalities and Applications
Main Authors: R. Alavi, S. Shams, R. Aghalary, N. E. Cho
Format: Article
Language:English
Published: SpringerOpen 2023-03-01
Subjects:
Online Access:https://doi.org/10.1186/s13660-023-02925-1