Estimates for the zeros of differences of meromorphic functions

DOI10.1007/s11425-009-0159-7zbMath1181.30016OpenAlexW2080518221MaRDI QIDQ1047863

Kwang Ho Shon, Zong Xuan Chen

Publication date: 6 January 2010

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0159-7

zbMATH Keywords

exponent of convergence of zerostranscendental meromorphic function

Mathematics Subject Classification ID

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

Related Items (13)

Zeros, poles, and fixed points of solution and its difference for some types of difference equations ⋮ Results on difference analogues of Valiron-Mohon'ko theorem ⋮ On finite-order meromorphic solutions of a class containing a difference Painlevé I equation ⋮ On growth, zeros and poles of meromorphic solutions of linear and nonlinear difference equations ⋮ On the growth of meromorphic solutions of difference equations ⋮ The growth of the solutions of certain type of difference equations ⋮ Solutions of complex Fermat-type partial difference and differential-difference equations ⋮ Some results on difference Riccati equations ⋮ Growth and zeros of meromorphic solution of some linear difference equations ⋮ Value distribution of differential-difference polynomials of meromorphic functions ⋮ Higher order difference operators and uniqueness of meromorphic functions ⋮ On zeros and deficiencies of differences of meromorphic functions ⋮ Existence of entire solutions of nonlinear difference equations

Cites Work

• Unnamed Item
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Nevanlinna theory and complex differential equations
• On the zeros of meromorphic functions of the form \(f(z)= \sum_{k=1}^ \infty {{a_ k} \over {z-z_ k}}\)
• The Bergweiler-Eremenko theorem for finite lower order
• Complex difference equations of Malmquist type
• On the singularities of the inverse to a meromorphic function of finite order
• On subnormal solutions of second order linear periodic differential equations
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Slowly growing integral and subharmonic functions
• Zeros of differences of meromorphic functions
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
• On Equilibrium Points of Logarithmic and Newtonian Potentials
• On the extension of the Painlevé property to difference equations
• Wiman-Valiron method for difference equations
• Clunie theorems for difference and q -difference polynomials

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