The Bergweiler-Eremenko theorem for finite lower order

DOI10.1007/BF03322728zbMath1036.30022OpenAlexW2059107782MaRDI QIDQ1412977

James D. Hinchliffe

Publication date: 10 November 2003

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322728

zbMATH Keywords

critical valueasymptotic valuefinite orderfinite lower ordertranscendental and meromorphic function

Mathematics Subject Classification ID

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

Related Items (13)

Deficient values of derivatives of meromorphic functions in the class \(S\) ⋮ Non-real zeroes of real entire derivatives ⋮ Transcendental singularities for a meromorphic function with logarithmic derivative of finite lower order ⋮ On zeros and fixed points of differences of meromorphic functions ⋮ Zeros of derivatives of real meromorphic functions ⋮ Value distribution of differences of meromorphic functions ⋮ Properties of differences of meromorphic functions ⋮ Derivatives of meromorphic functions of finite order ⋮ On zeros and deficiencies of differences of meromorphic functions ⋮ Zeros and fixed points of the linear combination of shifts of a meromorphic function ⋮ Logarithmic singularities and the zeros of the second derivative ⋮ Estimates for the zeros of differences of meromorphic functions ⋮ Constructing entire functions by quasiconformal folding

Cites Work

• On the zeros of meromorphic functions of the form \(f(z)= \sum_{k=1}^ \infty {{a_ k} \over {z-z_ k}}\)
• On the singularities of the inverse to a meromorphic function of finite order
• On Equilibrium Points of Logarithmic and Newtonian Potentials
• Picard values and normal families of meromorphic functions with multiple zeros
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