Convexity of Certain q Integral Operators of p Valent Functions

Abstract

By applying the concept (and theory) of fractional -calculus, we first define and introduce two new -integral operators for certain analytic functions defined in the unit disc . Convexity properties of these -integral operators on some classes of analytic functions defined by a linear multiplier fractional -differintegral operator are studied. Special cases of the main results are also mentioned.