Sufficient Conditions of Bounded Radius Rotations for Two Integral Operators Defined by q-Analogue of Ruscheweyh Operator

Abstract

Motivating by q- analogue theory, in this article, we derive the q- analogue of Ruscheweyh differential Operator using q-hypergeometric function and using this new operator to define integral operators which generalizes many operators introduced before. We also consider supclasses of analytic functions with bounded radius and bounded boundary rotations and study the mapping properties of these classes under these q-intergral operators.