The Journal of the Indian Mathematical Society

P. K. Banerji ¹, G. M. Shenan ¹

Affiliations
1 Department of Mathematics, JNV University, Jodhpur-342005, IN

Abstract

In the present paper a function is introduced using certain modified fractional derivative operator and the convolutions of three functions, analytic in the unit disc, are mentioned. Also investigated are the characterization properties of the said function in the open unit disc, in order to establish its belongingness to some subclasses of analytic functions and finally, some associations of the said properties with the convolution are mentioned.

Keywords

Convex Functions, Starlike Functions, Fractional Derivative Operator, Convolution.

Full Text