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Normal families of meromorphic functions whose derivatives omit a function (2002).
| Content Provider | CiteSeerX |
|---|---|
| Author | Pang, Xuecheng Yang, Degui Zalcman, Lawrence |
| Abstract | Let F be a family of functions meromorphic on the plane do-main D, and let h be a holomorphic function on D, h 6 ยด 0. Suppose that, for each f 2 F, f (m)(z) 6 = h(z) for z 2 D. Then F is normal on D (i) if all zeros of functions in F have multiplicity at least m+3, or (ii) if all zeros of functions in F have multiplicity at least m + 2 and h has only multiple zeros on D, or (iii) if all poles of functions in F are multiple and all zeros have multiplicity at least m + 2. |
| File Format | |
| Publisher Date | 2002-01-01 |
| Access Restriction | Open |
| Subject Keyword | Derivative Omit Normal Family Meromorphic Function Plane Do-main Multiple Zero Holomorphic Function |
| Content Type | Text |
