Hayman T Directions of Meromorphic Functions in Some Angular Domains
Wu Nan, Xuan Zuxing
TL;DR
This paper investigates the singular and Hayman T directions of meromorphic functions within specific angular domains, extending previous work on Borel directions and value distribution.
Contribution
It confirms the existence of Hayman T directions in certain angular domains, advancing the understanding of meromorphic functions' directional behavior.
Findings
Confirmed existence of Hayman T directions in some angular domains
Extended previous results on Borel directions and value distribution
Contributed to the theory of meromorphic functions in angular sectors
Abstract
This paper is devoted to investigate the singular directions of mero- morphic functions in some angular domains. We will confirm the existence of Hayman T directions in some angular domains. This is a continuous work of Yang [Yang L., Borel directions of meromorphic functions in an angular domain, Science in China, Math. Series(I)(1979), 149-163.] and Zheng [Zheng, J.H., Value Distribution of Meromorphic Functions, preprint.].
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Taxonomy
TopicsMeromorphic and Entire Functions · Holomorphic and Operator Theory