Abstract
In this paper, we investigate the value distribution of a meromorphic function and its derivative concerning small functions in an angular domain and obtain some inequalities for a meromorphic function in an angular domain, which improve the previous results.
Highlights
Introduction and main results We useC to denote the open complex plane, C (= C ∪ {∞}) to denote the extended complex plane, and (⊂ C) to denote an angular domain
The research on the value distribution of q meromorphic function is very active in the field of complex analysis; many mathematicians had done a lot of works in this project by using the Nevanlinna value distribution theory and obtained many famous results, such as the Picard theorem, Julia direction, Borel theorem, Borel direction, Hayman theorem, Yang-Zhang theorem, and so on
In the discussion of the above topics, we find that the characteristics of meromorphic functions in the angular domain played an important role
Summary
Introduction and main results We useC to denote the open complex plane, C (= C ∪ {∞}) to denote the extended complex plane, and (⊂ C) to denote an angular domain. (Hayman inequality (see [ ])) Let f be a transcendental meromorphic function on the complex plane.
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