Starlikeness and Convexity Properties of Clausen’s Hypergeometric Functions within the Janowski-Type Class

In the current study, for Clausen’s hypergeometric function to fall within the broad category of Janowski starlike functions, we provide certain sufficient conditions. Furthermore, we establish explicit sufficient conditions for an integral operator defined by Clausen’s hypergeometric function to belong to the class of Janowski starlike and convex functions.