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

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  • Qing-Hua Xu
  • Tai-Shun Liu

Abstract

Let be the familiar class of normalized univalent functions in the unit disk. Fekete and Szegö proved the well-known result for . 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 , which satisfies a certain condition.

Suggested Citation

  • Qing-Hua Xu & Tai-Shun Liu, 2014. "On the Fekete and Szegö Problem for the Class of Starlike Mappings in Several Complex Variables," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, September.
  • Handle: RePEc:hin:jnlaaa:807026
    DOI: 10.1155/2014/807026
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    Cited by:

    1. Hidetaka Hamada & Gabriela Kohr & Mirela Kohr, 2022. "Coefficient Inequalities for Biholomorphic Mappings on the Unit Ball of a Complex Banach Space," Mathematics, MDPI, vol. 10(24), pages 1-15, December.

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