Starlikeness and close-to-convexity involving certain differential inequalities

Abstract

In the present paper, we study certain differential inequalities involving meromorphic functions in the open unit disk and obtain certain sufficient conditions for starlikeness and close-to-convexity of meromorphic functions. Mathematics Subject Classification (2010): 30C45, 30C80. Received 06 April 2021; Accepted 11 October 2022