Uniqueness theorems for algebroid functions. (English) Zbl 1110.30016
The paper discusses the uniqueness problems for algebroid functions of the form \(W(z)\) satisfying
\[
A_k(z)W^k + A_{k-1}(z)W^{k-1}+\cdots+A_0(z)=0
\]
where \(A_k(z), \dots, A_0(z)\) are analytic functions with no common zeros in the complex plane. The current paper extends a few known uniqueness results for meromorphic functions with multiple values or deficient values to algebroid functions.
Reviewer: Yuefei Wang (Beijing)
MSC:
| 30D35 | Value distribution of meromorphic functions of one complex variable, Nevanlinna theory |
| 30C99 | Geometric function theory |
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