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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Vydáno v:Complex variables and elliptic equations Ročník 64; číslo 1; s. 78 - 92
Hlavní autoři: Nunokawa, Mamoru, Sokół, Janusz
Médium: Journal Article
Jazyk:angličtina
Vydáno: Colchester Taylor & Francis 02.01.2019
Taylor & Francis Ltd
Témata:
Analytic functions
Ozaki's condition
Primary: 30C45
Secondary: 30C80
univalent functions
ISSN:1747-6933, 1747-6941
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Shrnutí: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 .
Bibliografie: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