On a Set of Generalized Janowski-Type Starlike Functions Connected With Mathieu-Type Series and Opoola Differential Operator

Abstract

The study carried out in this paper is on a set of analytic-univalent functions whose definition is connected with the applications of the normalized Mathieu-type series, Opoola differential operator, Oyekan-Swamy-Opoola operator and Janowski-type starlike functions. More so, the techniques of convolution and subordination are embraced in the definition of our set of functions. Some of our investigations include the coefficient inequality, radii problems, growth, distortion, closure and inclusion properties.