Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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CERTAIN SUBCLASS OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SYMMETRIC q-DERIVATIVE OPERATOR

  • Jae Ho Choi (Department of Mathematics Education, Daegu National University of Education)
  • Received : 2022.11.01
  • Accepted : 2023.03.21
  • Published : 2023.09.15
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Abstract

The aim of this paper is to study certain subclass ${\tilde{S^q_{\Sigma}}}({\lambda},\,{\alpha},\,t,\,s,\,p,\,b)$ of analytic and bi-univalent functions which are defined by using symmetric q-derivative operator. We estimate the second and third coefficients of the Taylor-Maclaurin series expansions belonging to the subclass and upper bounds for Feketo-Szegö inequality. Furthermore, some relevant connections of certain special cases of the main results with those in several earlier works are also pointed out.

Keywords

Acknowledgement

The author wish to thank the anonymous referees for their useful comments. This work was supported by Daegu National University of Education Research Grant (Special Research Grant) in 2021.

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