Normal families of meromorphic functions with multiple zeros and poles
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Publication:5907064
DOI10.1007/BF02807190zbMath1040.30016MaRDI QIDQ5907064
Xue-Cheng Pang, Lawrence Zalcman
Publication date: 8 March 2004
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Normal functions of one complex variable, normal families (30D45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)
Related Items (14)
Normality and exceptional functions of derivatives ⋮ On the family of meromorphic functions whose derivatives omit a holomorphic function ⋮ A criterion of normality concerning holomorphic functions whose derivative omit a function. II ⋮ On the \(k\)th derivative of meromorphic functions with zeros of multiplicity at least \(k+1\) ⋮ Exceptional functions and normal families of meromorphic functions with multiple zeros ⋮ Normal family of meromorphic functions concerning fixed-points ⋮ A criterion of normality based on a single holomorphic function ⋮ Normal families of holomorphic functions with multiple zeros ⋮ A normal criterion concerning omitted holomorphic function ⋮ Normal families and exceptional functions ⋮ A criterion of normality concerning holomorphic functions whose derivative omits a function ⋮ Quasinormal families of meromorphic functions ⋮ Normality concerning exceptional functions ⋮ Normal families and fixed-points of meromorphic functions
Cites Work
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- On the derivative of meromorphic functions with multiple zeros.
- Normal families: New perspectives
- Picard values and normal families of meromorphic functions with multiple zeros
- Normal Families and Shared Values
- A NOTE ON A PROBLEM OF HAYMAN
- Families of meromorphic functions avoiding continuous functions
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