On the zeros of meromorphic functions of the form \(f(z)= \sum_{k=1}^ \infty {{a_ k} \over {z-z_ k}}\)
From MaRDI portal
Publication:1326666
DOI10.1007/BF02835958zbMath0818.30020MaRDI QIDQ1326666
John Rossi, James K. Langley, Alexandre Eremenko
Publication date: 6 August 1995
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Related Items (23)
Meromorphic functions of the form \(f(z)=\sum^ \infty_{n=1}a_ n/(z-z_ n)\). ⋮ Equilibrium points of logarithmic potentials on convex domains ⋮ Cauchy potentials with angular density measures and a generalisation of a theorem of Keldysh ⋮ Dima Khavinson's 60th: a summary of open problems in analysis and mathematical physics ⋮ Krein-type theorems and ordered structure for Cauchy-de Branges spaces ⋮ Cauchy-de Branges spaces, geometry of their reproducing kernels and multiplication operators ⋮ On zeros and fixed points of differences of meromorphic functions ⋮ Bounded projective functions and hyperbolic metrics with isolated singularities ⋮ The Bergweiler-Eremenko theorem for finite lower order ⋮ On the zeros of the second derivative ⋮ Value distribution of differences of meromorphic functions ⋮ Value distribution of differences of meromorphic functions ⋮ The zeros of the first two derivatives of a meromorphic function ⋮ On the frequency of zeros of certain meromorphic functions associated with subharmonic potentials ⋮ Properties of differences of meromorphic functions ⋮ On properties of meromorphic solutions for difference equations concerning gamma function ⋮ On the Multiple Points of Certain Meromorphic Functions ⋮ On critical points and zeros of certain discrete potentials ⋮ On zeros and deficiencies of differences of meromorphic functions ⋮ Zeros and fixed points of the linear combination of shifts of a meromorphic function ⋮ Estimates for the zeros of differences of meromorphic functions ⋮ On differential polynomials, fixpoints and critical values of meromorphic functions ⋮ Equilibrium points of logarithmic potentials induced by positive charge distributions. I. Generalized de Bruijn-Springer relations
Cites Work
- Minimum of the modulus of an entire function on the sequence of Pólya peaks
- On the growth of meromorphic functions having at least one deficient value
- Convolution inequalities, regular variation and exceptional sets
- A theorem on Nevanlinna deficiencies
- The Size of the Set on Which a Meromorphic Function is Large
- On Equilibrium Points of Logarithmic and Newtonian Potentials
- [https://portal.mardi4nfdi.de/wiki/Publication:5751153 On the Growth of Solutions of f � � + gf � + hf = 0]
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the zeros of meromorphic functions of the form \(f(z)= \sum_{k=1}^ \infty {{a_ k} \over {z-z_ k}}\)
