Entire solutions of certain type of difference equations

DOI10.1186/1029-242X-2014-63zbMath1372.39024OpenAlexW2124681291WikidataQ59324278 ScholiaQ59324278MaRDI QIDQ2405570

Nana Liu, Chung-Chun Yang, Weiran Lü, Tiantian Shen

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-63

zbMATH Keywords

Nevanlinna theorydifference equationtranscendental entire solutiondifference-differential polynomial

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Functional equations for complex functions (39B32)

Related Items

Entire solutions of certain class of differential-difference equations ⋮ On the existence of meromorphic solutions of certain nonlinear difference equations ⋮ Characterization on transcendental entire solutions of certain types of non-linear generalized delay-differential equations ⋮ On the existence of entire solutions of certain class of nonlinear difference equations ⋮ Unnamed Item ⋮ The existence of solutions to certain type of nonlinear difference-differential equations ⋮ Finite-order transcendental entire solutions of generalized non-linear shift equations ⋮ The exact entire solutions of certain type of nonlinear difference equations ⋮ On the meromorphic solutions of certain class of nonlinear differential equations

Cites Work

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• Growth and zeros of meromorphic solution of some linear difference equations
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Value distribution of difference polynomials
• On analogies between nonlinear difference and differential equations
• On the transcendental solutions of a certain type of nonlinear differential equations
• On the entire solutions of certain class of non-linear differential equations
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Eindeutige Lösungen der Differentialgleichungen \(w=P(z,w)\)
• Meromorphic solutions of q-shift difference equations
• Holomorphic curves with shift-invariant hyperplane preimages
• On Integral and Meromorphic Functions
• Meromorphic solutions of the Riccati differential equation
• Clunie theorems for difference and q -difference polynomials
• A Generalization of a Theorem of P. Montel on Entire Functions