Nevanlinna's five-value theorem for derivatives of meromorphic functions in an angular domain

Abstract

. In this paper, we fi rst obtain the famous Xiong Inequality for meromorphic functions in an angular domain and also generalise Nevanlinna’s fi ve-value theorem for derivatives of meromorphic functions by considering weaker assumptions of sharing fi ve values and small functions to partially sharing k ( (cid:2) 5 ) values and small functions in an angular domain. As a particular cases of our results, we deduce He Ping result in an angular domain.