Abstract and Applied Analysis

On the Fekete and Szegö Problem for the Class of Starlike Mappings in Several Complex Variables

Qing-Hua Xu and Tai-Shun Liu

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Abstract

Let S be the familiar class of normalized univalent functions in the unit disk. Fekete and Szegö proved the well-known result max f S a 3 - λ a 2 2 = 1 + 2 e - 2 λ / (1 - λ) for λ 0 ,   1 . We investigate the corresponding problem for the class of starlike mappings defined on the unit ball in a complex Banach space or on the unit polydisk in C n , which satisfies a certain condition.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 807026, 6 pages.

Dates
First available in Project Euclid: 27 February 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1425049807

Digital Object Identifier
doi:10.1155/2014/807026

Mathematical Reviews number (MathSciNet)
MR3259164

Zentralblatt MATH identifier
07023113

Citation

Xu, Qing-Hua; Liu, Tai-Shun. On the Fekete and Szegö Problem for the Class of Starlike Mappings in Several Complex Variables. Abstr. Appl. Anal. 2014 (2014), Article ID 807026, 6 pages. doi:10.1155/2014/807026. https://projecteuclid.org/euclid.aaa/1425049807


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