Multiplicities in Hayman's alternative

DOI10.1017/S144678870001555XzbMath1074.30028MaRDI QIDQ4676440

Walter Bergweiler, James K. Langley

Publication date: 3 May 2005

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

meromorphic functionsnormal familiesHayman's alternative

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35)

Related Items

On the normality criteria of Montel and Bergweiler-Langley, Normal families and shared functions concerning Hayman's question, Pairs of non-homogeneous linear differential polynomials, Quasinormality and meromorphic functions with multiple zeros, Bloch's principle, Normality of meromorphic functions whose derivatives have 1-points, Quasinormal families of meromorphic functions

Cites Work

• Picard values of meromorphic functions and their derivatives
• A remark on Langley's generalisation of Hayman's alternative
• On the singularities of the inverse to a meromorphic function of finite order
• A Heuristic Principle in Complex Function Theory
• Normal families: New perspectives
• Picard values and normal families of meromorphic functions with multiple zeros
• Normality and exceptional values of derivatives
• A lower bound for the number of zeros of a meromorphic function and its second derivative
• Normality criteria for families of meromorphic functions