We introduce some new subclasses of analytic functions which are univalent in an open unit disk by means of fractional calculus. The elemental interest is to explore the significance of fractional-order operators while formulating a few distinct subclasses of univalent analytic functions. Present work establishes the Fekete-Szegö inequality for the proposed subclasses. In addition, some classical Fekete-Szegö problems have also been retrieved and discussed as particular cases of the presented work. To make the suggested work more evident, an extremal function is also provided for which a sharp upper bound is attained.
Singha, N. and Kumar, R.
(R1516) Results on Fekete-Szegö Problem for Some New Subclasses of Univalent Analytic Functions with Fractional-Order Operators,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 17,
1, Article 8.
Available at: https://digitalcommons.pvamu.edu/aam/vol17/iss1/8