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
From page
431
To page
441
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
Record number
2743869
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