Annales Academię Scientiarum Fennicę
Mathematica
Volumen 37, 2012, 19-34

A NEW PROOF OF A UNICITY THEOREM OF MEROMORPHIC FUNCTIONS AND THEIR DERIVATIVES

Jianming Chang

Changshu Institute of Technology, Department of Mathematics
Changshu, Jiangsu 215500, P.R. China; jmchang 'at' cslg.edu.cn

Abstract. We give a new proof of the following result by a uniform method: If a nonconstant meromorphic function f shares two distinct finite values CM with its derivative f^(k), then f is an entire function that satisfies f^(k) = f.

2010 Mathematics Subject Classification: Primary 30D35.

Key words: Entire functions, meromorphic functions, shared values, unicity theorem.

Reference to this article: J.M. Chang: A new proof of a unicity theorem of meromorphic functions and their derivatives. Ann. Acad. Sci. Fenn. Math. 37 (2012), 19-34.

Full document as PDF file

doi:10.5186/aasfm.2012.3702

Copyright © 2012 by Academia Scientiarum Fennica