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Fekete–Szegö problem for certain classes of Ma-Minda bi-univalent functions

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Abstract

In the present work, we propose to investigate the Fekete–Szegö inequalities certain classes of analytic and bi-univalent functions defined by subordination. The results in the bounds of the third coefficient which improve many known results concerning different classes of bi-univalent functions. Some interesting applications of the results presented here are also discussed.

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Acknowledgments

The present investigation of the second-named author was supported by UGC under the Grant F.MRP-3977/11 (MRP/UGC-SERO). The authors would like thank the referee for his/her valuable suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Ataturk University, 25240, Erzurum, Turkey

    H. Orhan

  2. Post-Graduate and Research Department of Mathematics, Goverment Arts College for Men, Krishnagiri, 635001, Tamilnadu, India

    N. Magesh

  3. Department of Mathematics, L.N. Govt College, Ponneri, Chennai, Tamilnadu, India

    V. K. Balaji

Authors
  1. H. Orhan
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  2. N. Magesh
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  3. V. K. Balaji
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Corresponding author

Correspondence to H. Orhan.

Additional information

Dedicated to Professor H. M. Srivastava on the Occasion of his Seventy-Fifth Birthday.

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Orhan, H., Magesh, N. & Balaji, V.K. Fekete–Szegö problem for certain classes of Ma-Minda bi-univalent functions. Afr. Mat. 27, 889–897 (2016). https://doi.org/10.1007/s13370-015-0383-y

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  • DOI: https://doi.org/10.1007/s13370-015-0383-y

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