title: An inequality of meromorphic functions and its application.
abstract: By applying Ahlfors theory of covering surface, we establish a fundamental inequality of meromorphic function dealing with multiple values in an angular domain. As an application, we prove the existence of some new singular directions for a meromorphic function f, namely a Bloch direction and a pseudo-T direction for f.
authors.affiliation: School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, China.
authors.forename: Zhaojun
authors.initials: Z
authors.lastname: Wu
authors.affiliation: School of Mathematics and Computer Science, Xinyu University, Xinyu 338004, China.
authors.forename: Yuxian
authors.initials: Y
authors.lastname: Chen
authors.affiliation: Beijing Key Laboratory of Information Service Engineering, Department of General Education, Beijing Union University, No. 97 Bei Si Huan Dong Road, Chaoyang District, Beijing 100101, China.
authors.forename: Zuxing
authors.initials: Z
authors.lastname: Xuan
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted