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On the Fekete and Szegö problem for starlike mappings of order α

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Abstract

Let S * α be the familiar class of normalized starlike functions of order α in the unit disk. In this paper, we establish the Fekete and Szegö inequality for the class S * α , and then we generalize this result to the unit ball in a complex Banach space or on the unit polydisk in Cn.

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Acknowledgements

We thank the referees for their time and comments.

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Authors and Affiliations

  1. College of Mathematics and Information Science, JiangXi Normal University, Nanchang, 330022, P. R. China

    Qing Hua Xu & Fang Fang

  2. Department of Mathematics, Huzhou University, Huzhou, 313000, P. R. China

    Tai Shun Liu

Authors
  1. Qing Hua Xu
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  2. Fang Fang
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  3. Tai Shun Liu
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Corresponding author

Correspondence to Qing Hua Xu.

Additional information

Supported by NNSF of China (Grant Nos. 11561030, 11471111 and 11261022), the Jiangxi Provincial Natural Science Foundation of China (Grant Nos. 20152ACB20002 and 20161BAB201019) and Natural Science Foundation of Department of Education of Jiangxi Province, China (Grant No. GJJ150301)

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Xu, Q.H., Fang, F. & Liu, T.S. On the Fekete and Szegö problem for starlike mappings of order α . Acta. Math. Sin.-English Ser. 33, 554–564 (2017). https://doi.org/10.1007/s10114-016-5762-2

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  • DOI: https://doi.org/10.1007/s10114-016-5762-2

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