An inequality of meromorphic functions and its application.

ScientificWorldJournal

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.

Published: December 2014

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.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3967495PMC
http://dx.doi.org/10.1155/2014/242851DOI Listing

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