On extensions of the Jack and open-door lemmas

Autor: R. Alavi, S. Shams, R. Aghalary, N. E. Cho
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-17 (2023)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-023-02925-1
Popis: 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 of analytic and meromorphic functions are obtained. Our results improve and extend the earlier results investigated in the literature.
Databáze: Directory of Open Access Journals
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