A Generalized Subclass of Starlike Functions Involving Jackson’s ( p, q)  Derivative

Abstract

In this paper, we generalize many earlier differential operators which were studied by other researchers using our differential operator. We also obtain a new subclass of starlike functions to utilize some interesting properties.

Analytic functions, Subordination, q-Ruscheweyh derivative, Hadamard product, Univalent function

“…For more information, see earlier reports [10,11,12]. The application of q-calculus was initiated by Jacks n [13] (also see [14,15] (for more details see a previous report [16]), and also Equation 6 where We note the following: (i) For the class reduces to the class discussed by Agrawal and Sahoo [17]. (ii) For and the class reduces to the class discussed by Ismail et al [18].…”

On Sandwich Theorems Results for Certain Univalent Functions Defined by Generalized Operators

“…Several authors studied class of univalent functions for another conditions, like, [1,2]. If is given by ( ) and given by…”