Some classes of Janowski functions associated with conic domain and a shell-like curve involving Ruscheweyh derivative

Abstract

"Making use of Ruscheweyh derivative, we define a new class of starlike functions of complex order subordinate to a conic domain impacted by Janowski functions. Coefficient estimates and Fekete-Szego¨ inequalities for the defined class are our main results. Some of our results generalize the related work of some authors. Keywords: Analytic function, Schwarz function, starlike, convex, shell-like functions, Janowski functions, subordination, Fekete-Szego¨ inequality, Ruscheweyh derivative."