doiSerbia

On a subclass of multivalent close to convex functions

Arif Muhammad (Abdul Wali Khan University Mardan, Department of Mathematics, Khyber, Pakhtunkhwa, Pakistan)
Ayaz Muhammad (Abdul Wali Khan University Mardan, Department of Mathematics, Khyber, Pakhtunkhwa, Pakistan)
Sokół Janusz (University of Rzeszow, Faculty of Mathematics and Natural Sciences, Rzeszow, Poland)

We introduce a new subclass of multivalent close to convex functions related with Janowski functions and study some of their properties: coefficient estimates, inclusion and inverse inclusion, distortion problems and sufficiency criteria to be in these subclasses.

Keywords: close-to-convex functions, Janowski functions, multivalent functions, subordination, starlike functions