On the Fekete and Szegö problem for starlike mappings of order [alpha]

• Published in: Acta mathematica Sinica. English series Vol. 33; no. 4; p. 554
• Main Authors: Xu, Qing Hua, Fang, Fang, Liu, Tai Shun
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer Nature B.V 01.04.2017
• Subjects: Banach spaces; Estimates; Inequality

Let S [Stack ^sub [alpha] ^ ^sup *^ ] be the familiar class of normalized starlike functions of order [alpha] in the unit disk. In this paper, we establish the Fekete and Szegö inequality for the class S [Stack ^sub [alpha] ^ ^sup *^ ], and then we generalize this result to the unit ball in a comple...