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