Certain properties of Komatu integral transform with negative coefficients with reference to uniform starlike and uniform convex functions

Abstract

The authors obtained a new subclass about strongly starlike and strongly convex functions with respect to Komatu integral transforms and the inclusion properties of these classes such as (formula presented)and (formula presented)were discussed. Furthermore, a new subclass about uniformly starlike functions along uniformly convex functions including negative coefficients defined by the Komatu integral transforms are introduced. The various properties about these classes are obtained here including (for instance) coefficient estimates, extreme points, distortion and covering theorems.