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

Author(s):

Somayeh Fadaei , Shahram Najafzadeh , Ali Ebadian

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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:

Analytic function , Bi-univalent function , Coefficient estimates , Faber polynomial expansion , Tremblay fractional derivative operato

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:12 Issue: 2, Summer and Autumn 2023
Pages:
431 to 441
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