On critical points and zeros of certain discrete potentials

DOI10.1007/BF03321115zbMath1103.31001MaRDI QIDQ2497125

Robert Trickey

Publication date: 1 August 2006

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

critical pointszeros of meromorphic functionslogarithmical potentials

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Meromorphic functions of one complex variable (general theory) (30D30) Electro- and magnetostatics (78A30)

Related Items (1)

On the frequency of zeros of certain meromorphic functions associated with subharmonic potentials

Cites Work

• On the zeros of meromorphic functions of the form \(f(z)= \sum_{k=1}^ \infty {{a_ k} \over {z-z_ k}}\)
• Meromorphic functions of the form \(f(z)=\sum^ \infty_{n=1}a_ n/(z-z_ n)\).
• On Equilibrium Points of Logarithmic and Newtonian Potentials
• Critical points of certain discrete potentials

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