• 제목/요약/키워드: Feketo-Szego inequality

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CERTAIN SUBCLASS OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SYMMETRIC q-DERIVATIVE OPERATOR

  • Jae Ho Choi
    • Nonlinear Functional Analysis and Applications
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    • 제28권3호
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    • pp.647-657
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    • 2023
  • 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.