On generalized close-to-convexity related with strongly Janowski functions

Abstract

"Strongly Janowski functions are used to define certain classes of analytic functions which generalize the concepts of close-to-convexity and bounded boundary rotation. Coefficient results, a necessary condition, distortion bounds, Hankel determinant problem and several other interesting properties of these classes are studied. Some significant well-known results are derived as special cases. Keywords: Starlike, convex, bounded boundary rotation, Carathéodory and Janowski functions, subordination, convolution."