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

Qing-Hua Xu and Tai-Shun Liu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: Let S be the familiar class of normalized univalent functions in the unit disk. Fekete and Szegö proved the well‐known result maxf∈S⁡a3-λa22=12+e- 2(1λ/-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 Cn, which satisfies a certain condition.

Date: 2014
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https://doi.org/10.1155/2014/807026

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:807026

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