On the Fekete and Szeg5 Problem for Starlike Mappings of Order α

On the Fekete and Szeg5 Problem for Starlike Mappings of Order α

Let Sα^＊ be the familiar class of normalized starlike functions of order α in the unit disk. Inthis paper, we establish the Fekete and Szego inequality for the class Sα^＊, and then we generalize thisresult to the unit ball in a complex Banach space or on the unit polydisk in C^n.

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Veröffentlicht in:数学学报：英文版 2017, Vol.33 (4), p.554-564
1. Verfasser: Qing Hua XU Fang FANG Tai Shun LIU
Format: Artikel
Sprache:eng
Schlagworte:
bound
coefficient
Fekete-Szego
mappings
order
problem
sharp
starlike
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Zusammenfassung:Let Sα^＊ be the familiar class of normalized starlike functions of order α in the unit disk. Inthis paper, we establish the Fekete and Szego inequality for the class Sα^＊, and then we generalize thisresult to the unit ball in a complex Banach space or on the unit polydisk in C^n.
ISSN:1439-8516
1439-7617