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Fekete–Szegö problem for some subclasses of bi-univalent functions

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Abstract

Certain new subclasses of bi-univalent analytic functions are introduced in this paper using the concept of subordination. Non-sharp bounds for the Fekete–Szegö functional are found. The results of this paper generalize several recently obtained results.

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Acknowledgements

The authors are grateful to the referees for their valuable comments and suggestions which helped to improve the paper.

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Authors and Affiliations

  1. Department of Mathematics, Berhampur University, Bhanja Bihar, Ganjam, Odisha, 760007, India

    Madan Mohan Soren

  2. Department of Computer Science, Central University of Orissa, Koraput, Odisha, 764021, India

    Sarbeswar Barik

  3. Saankhya Kuteer, Golgunda, Jagruti Vihar, Burla, Sambalpur, Odisha, 768020, India

    Akshaya Kumar Mishra

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  1. Madan Mohan Soren
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Correspondence to Madan Mohan Soren.

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Madan Mohan Soren declares that he has no conflict of interest. Sarbeswar Barik declares that he has no conflict of interest. Aksaya Kumar Mishra declares that he has no conflict of interest.

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Soren, M.M., Barik, S. & Mishra, A.K. Fekete–Szegö problem for some subclasses of bi-univalent functions. J Anal 29, 147–162 (2021). https://doi.org/10.1007/s41478-020-00252-y

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