Document Type : Research Paper
Author
Diyala University - College of Science
10.37652/juaps.2009.15579
Abstract
In this paper we shall prove that if a non-constant meromorphic function and its derivative share the value CM (IM) and if ( ), then either or ( ), where and are constants. These results give improvement and extension of the following result of Gundersen: if a non-constant meromorphic function and its derivative share two distinct values CM, then .
Keywords
- Nevanlinna theory
- uniqueness theorem
- share CM or IM
- Classification Categories
- Subject classification
Main Subjects
[1] W. K. Hayman (1964). Meromorphic functions, Clarendon Press, Oxford.
[2] R. Nevanlinna (1929). Le théorème de Picard-Borel et la théorie des functions méromorphes, Gauthiers-Villars, Paris.
[3] G. G. Gundersen (1980). Meromorphic functions that share finite values with their derivative. J. Math. Anal. Appl., 75: 441-446.
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