EMIS ELibM Electronic Journals Publications de l’Institut Mathématique, Nouvelle Série
Vol. 101[115], pp. 161–168 (2017)

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ON A SUBCLASS OF MULTIVALENT CLOSE TO CONVEX FUNCTIONS

Muhammad Arif, Muhammad Ayaz, Janusz Sokół

Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, Pakistan; Department of Mathematics, Rzeszów University of Technology, Rzeszów, Poland

Abstract: We introduce a new subclass of multivalent close to convex functions related with Janowski functions and study some 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

Classification (MSC2000): 30C45; 30C10, 47B38

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