On extensions of the Jack and open-door lemmas

DOI10.1186/S13660-023-02925-1OpenAlexW4360980843WikidataQ125044932 ScholiaQ125044932MaRDI QIDQ6062423

Rasoul Aghalary, Nak Eun Cho, R. Alavi, Saeid Shams

Publication date: 30 November 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-023-02925-1

zbMATH Keywords

analytic functionsmeromorphic functionsdifferential subordinationJack's lemmaopen-door lemma

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Cites Work

• Applications of the Jack lemma
• Differential subordinations and univalent functions
• On properties of non-Carathéodory functions
• Some applications of Nunokawa's lemma
• Open-door lemma for functions with fixed second coefficients
• Extension of Nunokawa lemma for functions with fixed second coefficient and its applications
• Remarks on some starlike functions
• On a sufficient condition for strongly starlikeness
• Some extensions of the Open Door Lemma
• On the Jack lemma and its generalization
• Functions Starlike and Convex of Order α
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