On growth, zeros and poles of meromorphic solutions of linear and nonlinear difference equations

DOI10.1007/s11425-011-4265-yzbMath1238.30019OpenAlexW1970563380MaRDI QIDQ660002

Zong Xuan Chen

Publication date: 24 January 2012

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

Full work available at URL: https://doi.org/10.1007/s11425-011-4265-y

zbMATH Keywords

nonlinear difference equationlinear difference equationorder of growthzeropole

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Additive difference equations (39A10)

Related Items (27)

On the entire solutions for several partial differential difference equations (systems) of Fermat type in \(\mathbb{C}^2\) ⋮ Value distribution of meromorphic solutions of certain non-linear difference equations ⋮ On the meromorphic solutions of some linear difference equations ⋮ The growth of difference equations and differential equations ⋮ Meromorphic functions that share values with their shifts or their \(n\)-th order differences ⋮ Fixed points of meromorphic solutions for some difference equations ⋮ Uniqueness of difference polynomials ⋮ Unicity of meromorphic solutions of the Pielou logistic equation ⋮ UNICITY OF MEROMORPHIC FUNCTION WITH THEIR SHIFT OPERATOR SHARING SMALL FUNCTION ⋮ Some properties of algebraic difference equations of first order ⋮ Unnamed Item ⋮ Milloux inequality of nonlinear difference monomials and its application ⋮ THE VALUE DISTRIBUTION OF MEROMORPHIC SOLUTIONS OF SOME SECOND ORDER NONLINEAR DIFFERENCE EQUATION ⋮ Meromorphic solutions of delay differential equations related to logistic type and generalizations ⋮ The zeros of difference of meromorphic solutions for the difference Riccati equation ⋮ On properties of meromorphic solutions for difference equations concerning gamma function ⋮ Zeros and fixed-points on meromorphic solutions of a certain type of first order difference equation ⋮ Some results related to complex linear and nonlinear difference equations ⋮ A note on power of meromorphic function and its shift operator of certain hyper-order sharing one small function and a value ⋮ Complex oscillation of meromorphic solutions for difference Riccati equation ⋮ Meromorphic solutions of some complex non-linear difference equations ⋮ Some results concerning meromorphic solutions for the Pielou logistic equation ⋮ Growth, zeros and fixed points of differences of meromorphic solutions of difference equations ⋮ On growth of meromorphic solutions for linear difference equations ⋮ An inequality on the difference polynomials of meromorphic functions and its application ⋮ Unnamed Item ⋮ Complex oscillation of meromorphic solutions for the Pielou logistic equation

Cites Work

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• Clunie theorems for difference and q -difference polynomials

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