On the Strong Starlikeness of the Bernardi Transform

Autor: Zahra Orouji, Ali Ebadian, Nak Eun Cho
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Axioms, Vol 12, Iss 1, p 91 (2023)
Druh dokumentu: article
ISSN: 2075-1680
DOI: 10.3390/axioms12010091
Popis: Many papers concern both the starlikeness and the convexity of Bernardi integral operator. Using the Nunokawa’s Lemma, we want to determine conditions for the strong starlikeness of the Bernardi transform of normalized analytic functions g, such that |arg{g′(z)}| <απ2 in the open unit disk Δ where 0<α<2. Our results include the results of Mocanu, Nunokawa and others on the Libera transform.
Databáze: Directory of Open Access Journals
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