Abstract: In this paper, we introduce and investigate new subclasses of the function class Σ of bi-univalent functions defined in the open unit disk, which are associated with fractional q? calculus operators satisfying subordinate conditions. Estimates on the coefficients |a2| and |a3| are obtained and Fekete-Szeg¨o inequalities for the function class are determined.
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G. Murugusundaramoorthy, T. Janani, "On The Fekete-Szegö Problem for Certain Subclasses of Bi-Univalent Functions Involving Fractional q− Calculus Operators," WSEAS Transactions on Mathematics, vol. 15, pp. 345-356, 2016, DOI:
G. Murugusundaramoorthy, T. Janani. On The Fekete-Szegö Problem for Certain Subclasses of Bi-Univalent Functions Involving Fractional q− Calculus Operators.
WSEAS Transactions on Mathematics. 2016;15:345-356.