Coefficient bounds for new subclasses of analytic and m-fold symmetric bi-univalent functions

Authors

  • Abbas Kareem WANAS Department of Mathematics, College of Science, University of Al-Qadisiyah, Iraq, e-mail: abbas.kareem.w@qu.edu.iq https://orcid.org/0000-0001-5838-7365
  • Ágnes Orsolya PALL-SZABO Department of Mathematics, Faculty of Mathematics and Computer Science, Babe¸s-Bolyai University, Cluj-Napoca, Romania, e-mail: pallszaboagnes@math.ubbcluj.ro https://orcid.org/0000-0003-3469-3362

DOI:

https://doi.org/10.24193/subbmath.2021.4.05

Keywords:

Analytic function, univalent function, m-fold symmetric bi-univalent function, coefficient bound.

Abstract

In the present paper, we introduce and study two new subclasses of analytic and m-fold symmetric bi-univalent functions defined in the open unit disk U . Furthermore, for functions in each of the subclasses introduced here, we obtain upper bounds for the initial coefficients |am+1| and |a2m+1|. Also, we indicate certain special cases for our results.

Mathematics Subject Classification (2010): 30C45, 30C50.

References

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Published

2021-12-30

How to Cite

WANAS, A. K., & PALL-SZABO, Ágnes O. (2021). Coefficient bounds for new subclasses of analytic and m-fold symmetric bi-univalent functions. Studia Universitatis Babeș-Bolyai Mathematica, 66(4), 659–666. https://doi.org/10.24193/subbmath.2021.4.05

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