Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Coefficient Estimates for a Subclass of Bi-univalent Functions Associated with Symmetric q-derivative Operator by Means of the Gegenbauer Polynomials

  • Amourah, Ala (Department of Mathematics, Faculty of Science and Technology, Irbid National University) ;
  • Frasin, Basem Aref (Faculty of Science, Department of Mathematics, Al al-Bayt University) ;
  • Al-Hawary, Tariq (Department of Applied Science, Ajloun College, Al-Balqa Applied University)
  • Received : 2021.07.03
  • Accepted : 2021.11.16
  • Published : 2022.06.30
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Abstract

In the present paper, a subclass of analytic and bi-univalent functions is defined using a symmetric q-derivative operator by means of Gegenbauer polynomials. Coefficients bounds for functions belonging to this subclass are obtained. Furthermore, the Fekete-Szegö problem for this subclass is solved. A number of known or new results are shown to follow upon specializing the parameters involved in our main results.

Keywords

Acknowledgement

The authors would like to thank the referees for their helpful comments and suggestions.

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