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Exceptional values of meromorphic function on annulus.
1Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi 333403, China. xhyhhh@126.com
Thescientificworldjournal
|August 31, 2013
Summary
This study investigates exceptional values for meromorphic functions and their derivatives on an annulus. New theorems improve upon existing results in complex analysis.
Area of Science:
- Complex Analysis
- Meromorphic Functions
- Annulus Theory
Background:
- Meromorphic functions are central to complex analysis, with their properties on specific domains being a key research area.
- Understanding exceptional values provides insights into the distribution and behavior of these functions.
Purpose of the Study:
- To analyze the exceptional values of meromorphic functions and their derivatives within an annulus.
- To develop new theorems and corollaries that refine existing knowledge on this topic.
Main Methods:
- Utilizing established theorems and techniques from the theory of meromorphic functions.
- Applying methods specific to the analysis of functions on annular domains.
Main Results:
- Identification of specific exceptional values for meromorphic functions and their derivatives on an annulus.
- Formulation of novel theorems and corollaries that enhance previous findings.
Conclusions:
- The study contributes new theoretical results to the field of complex analysis concerning meromorphic functions on annuli.
- The findings offer improved understanding and potentially new directions for research in function theory.
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