an:00569438
Zbl 0799.30019
Yi, H. X.; Yang, C. C.
A uniqueness theorem for meromorphic functions whose \(N\)-th derivatives share the same 1-points
EN
J. Anal. Math. 62, 261-270 (1994).
00019498
1994
j
30D30 30D35
value sharing; uniqueness Theorem
The authors continue their work on uniqueness theorem arising from common point properties. Their main result here is the theorem: If \(f\) and \(g\) are two meromorphic functions with \(\theta(\infty,f)= \theta(\infty,g)= 1\) and if \(f^{(n)}= 1\) if and only if \(g^{(n)}= 1\) and \(\delta(0,f)+ \delta(0,g)> 1\), then either \(f\equiv q\) or \(f^{(n)} g^{(n)}\equiv 1\).
Fred Gross (Washington)