A Subclass of bi-univalent functions by Tremblay differential operator satisfying subordinate conditions

Document Type : Research Paper

Authors

1 Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran

2 Department of Mathematics, Urmia University, Urmia, Iran

Abstract

In this paper, we introduce a newly defined  subclass $\mathcal{S}_{\Sigma}(\vartheta,\gamma,\eta;\varphi) $ of bi-univalent functions by using the Tremblay differential operator satisfying subordinate conditions in the unit disk. Moreover, we use the Faber polynomial expansion to derive bounds for the Fekete-Szego problem and first two \emph{Taylor-Maclaurin coefficients} $|a_2|$ and $|a_3|$ for functions of this class.

Keywords

References

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History

  • Receive Date: 03 August 2022
  • Revise Date: 25 November 2022
  • Accept Date: 28 January 2023

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