On multivalent starlike functions and Ozaki condition

We prove some new sufficient conditions for function to be p-valent, or p-valently starlike in the unit disc. We extend in some sense the Ozaki condition which says that if for some real , then is at most p-valent in a convex domain .

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Veröffentlicht in:Complex variables and elliptic equations Jg. 64; H. 1; S. 78 - 92
Hauptverfasser: Nunokawa, Mamoru, Sokół, Janusz
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Colchester Taylor & Francis 02.01.2019
Taylor & Francis Ltd
Schlagworte:
Analytic functions
Ozaki's condition
Primary: 30C45
Secondary: 30C80
univalent functions
ISSN:1747-6933, 1747-6941
Online-Zugang:Volltext
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Zusammenfassung:We prove some new sufficient conditions for function to be p-valent, or p-valently starlike in the unit disc. We extend in some sense the Ozaki condition which says that if for some real , then is at most p-valent in a convex domain .
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1747-6933
1747-6941
DOI:10.1080/17476933.2017.1419209