(R1516) Results on Fekete-Szegö Problem for Some New Subclasses of Univalent Analytic Functions with Fractional-Order Operators

Authors

N. Singha, Pandit Deendayal Petroleum University
R. Kumar, Siksha "O" Anusandhan University

Abstract

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.

Recommended Citation

Singha, N. and Kumar, R. (2022). (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, Iss. 1, Article 8.
Available at: https://digitalcommons.pvamu.edu/aam/vol17/iss1/8