THAMMASAT INTERNATIONAL JOURNAL OF SCIENCE & TECHNOLOGY

Volume 25, No. 01, Month JANUARY, Year 2020, Pages 72 - 84

Geometric properties for an unified class of functions characterized using fractional ruscheweyh-goyal derivative operator

Ritu Agarwal, Gauri Shankar Paliwal, Sunil Dutt Purohit

Abstract Download PDF

By means of the principle of subordination, we commence with a unified subclass of analytic functions involving the fractional Ruscheweyh-Goyal derivative operator introduced by Goyal and Goyal (2005). The properties like inclusion relationships, coefficient inequalities and distortion theorems for the above mentioned class have been analyzed. For analytic functions defined in open disk of unit radius, we have incorporated the differential sandwich theorem.

Keywords

Analytic functions, Convolution, Differential subordination, Fractional Ruscheweyh-Goyal derivative operator, Superordination

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