On meromorphic solutions of non-linear difference equations

DOI10.1007/s40315-017-0223-1zbMath1401.30032OpenAlexW2767526205MaRDI QIDQ1791076

Zhi-Bo Huang, Ran Ran Zhang

Publication date: 4 October 2018

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

Full work available at URL: https://doi.org/10.1007/s40315-017-0223-1

zbMATH Keywords

difference equationsmeromorphic solutionshyper-order of the solutions

Mathematics Subject Classification ID

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

Related Items (12)

On the transcendental entire and meromorphic solutions of certain non-linear generalized delay-differential equations ⋮ On the existence of meromorphic solutions of certain nonlinear difference equations ⋮ On zeros and growth of solutions of complex difference equations ⋮ Meromorphic solutions of three certain types of non-linear difference equations ⋮ Characterization on transcendental entire solutions of certain types of non-linear generalized delay-differential equations ⋮ On the growth of meromorphic solutions of certain nonlinear difference equations ⋮ On meromorphic solutions of nonlinear complex difference equations ⋮ On meromorphic solutions of non-linear differential-difference equations ⋮ Study on the existence of solutions to two specific types of differential-difference equations ⋮ Growth on meromorphic solutions of differential-difference equations ⋮ On meromorphic solutions of nonlinear delay-differential equations ⋮ Meromorphic solutions of certain nonlinear difference equations

Cites Work

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• On analogies between nonlinear difference and differential equations
• On certain non-linear differential equations in complex domains
• Nevanlinna theory and complex differential equations
• On the existence of entire solutions of certain class of nonlinear difference equations
• On the nonexistence of entire solutions of certain type of nonlinear differential equations
• Holomorphic curves with shift-invariant hyperplane preimages
• Clunie theorems for difference and q -difference polynomials

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