On the normality of certain kind of meromorphic functions. (Chinese. English summary) Zbl 1150.30343
Summary: Let £ be a family of meromorphic functions on the plain domain \(D, \, a_1, a_2\) and \(a_3\) are three distinct complex numbers. If for every \(f \in F, f \in S=\{a_1, a_2, a_3\}\Leftrightarrow f^{ (k)} \in S\), and the zeros of \(f-a_1 (a_1\neq0\), otherwise \(a_2\) or \(a_3\)) are of multiplicity at least \(k+1\), then £ is normal on \(D\).
MSC:
| 30D30 | Meromorphic functions of one complex variable (general theory) |
| 30D45 | Normal functions of one complex variable, normal families |
