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Simple criterions for strongly starlikeness and starlikeness of certain order

✍ Scribed by Hidetaka Hamada; Gabriela Kohr

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
119 KB
Volume
254-255
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper, we will give a sufficient condition for locally univalent holomorphic functions on the unit disc . in C to be strongly starlike. Also, we will give sufficient conditions for locally biholomorphic mappings on the unit ball B in a complex Banach space X to be starlike of certain order or strongly starlike.

📜 SIMILAR VOLUMES

On strongly starlike multivalent functio
On strongly starlike multivalent functions of order β and type α
✍ N-eng Xu; Ding-Gong Yang; Shigeyoshi Owa 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 126 KB

## Abstract For analytic and __p__ ‐valent functions __f__ (__z__) in the open unit disk 𝕌, a new subclass $ \tilde S^\*\_p $(__α__, __β__) consisting of the functions __f__ (__z__) which are strongly starlike __p__ ‐valent of order __β__ and type __α__ is introduced. The object of the present pape