Title of article :
A SUBCLASS OF BI-UNIVALENT FUNCTIONS BY TREMBLAY DIFFERENTIAL OPERATOR SATISFYING SUBORDINATE CONDITIONS
Author/Authors :
Fadaei ، Somayeh Department of Mathematics - Payame Noor University , Najafzadeh ، Shahram Department of Mathematics - Payame Noor University , Ebadian ، Ali Department of Mathematics - Urmia University
Abstract :
In this paper, we introduce a newly defined subclass SΣ(ϑ, γ, η; φ) 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 FeketeSzegö problem and first two Taylor-Maclaurin coefficients |a2| and |a3| for functions of this class.
Keywords :
Analytic function , Bi , univalent function , Coefficient estimates , Faber polynomial expansion , Tremblay fractional derivative operator
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center
