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Note on bounds on the coefficients of a subclass of m-fold symmetric bi-univalent functions

  • Ahmad Zireh ORCID logo EMAIL logo , Saideh Hajiparvaneh and Serap Bulut ORCID logo
Published/Copyright: January 30, 2024

Abstract

In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions which both f ( z ) and f - 1 ( z ) are m-fold symmetric on the open unit disk. Furthermore, we find upper bounds for the initial coefficients | a m + 1 | and | a 2 m + 1 | for functions in this subclass. The results presented in this paper generalize and improve some recent works

MSC 2020: 30C45; 30C50

Acknowledgements

The authors are grateful to the referees for there valuable comments and observations which helped in developing the paper.

References

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Received: 2018-09-08
Revised: 2020-01-17
Accepted: 2020-10-31
Published Online: 2024-01-30
Published in Print: 2024-06-01

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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