On the derivative of meromorphic functions with multiple zeros.

DOI10.1016/S0022-247X(02)00349-9zbMath1160.30341MaRDI QIDQ1874550

Xue-Cheng Pang, Walter Bergweiler

Publication date: 25 May 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

meromorphic functionsnormal familiesmultiple zeros

Mathematics Subject Classification ID

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

Related Items (22)

On fixed points of meromorphic functions \(f(z)\) and \(f(z + c)\), \(\delta_c f(z)\) ⋮ Fixed points of meromorphic functions and of their differences, divided differences and shifts ⋮ Derivatives of meromorphic functions with multiple zeros and elliptic functions ⋮ Some normality criteria of functions related a Hayman conjecture ⋮ Normal family and the sequence of omitted functions ⋮ Value distribution of meromorphic functions concerning rational functions and differences ⋮ On the family of meromorphic functions whose derivatives omit a holomorphic function ⋮ Normality criteria of meromorphic functions that share a holomorphic function ⋮ Normal criteria of function families concerning shared values ⋮ Picard-Hayman behavior of derivatives of meromorphic functions ⋮ Derivatives of meromorphic functions with multiple zeros and rational functions ⋮ On the \(k\)th derivative of meromorphic functions with zeros of multiplicity at least \(k+1\) ⋮ Normal families of meromorphic functions with multiple zeros and poles ⋮ Some normality criteria for families of meromorphic functions ⋮ On properties of meromorphic solutions for difference equations concerning gamma function ⋮ On the value distribution of derivatives of meromorphic functions ⋮ Fixed points of meromorphic functions and their higher order differences and shifts ⋮ A normal criterion concerning omitted holomorphic function ⋮ Normal families and shared values of meromorphic functions ⋮ Growth, zeros and fixed points of differences of meromorphic solutions of difference equations ⋮ A note on normal families of meromorphic functions concerning shared values ⋮ Nonexceptional functions and normal families of zero-free meromorphic functions

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• A Heuristic Principle in Complex Function Theory
• Normal families: New perspectives
• Iteration of a class of hyperbolic meromorphic functions
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