On the growth of meromorphic solutions of difference equations

DOI10.1007/S11253-017-1329-3zbMath1490.39026OpenAlexW2610971120MaRDI QIDQ1729396

Shuang Ting Lan, Zong Xuan Chen

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-017-1329-3

zbMATH Keywords

linear difference equationsmeromorphic solutionsorder of growthexponent of convergence of zeros

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Difference equations in the complex domain (39A45)

Related Items (1)

Study of the growth properties of meromorphic solutions of higher-order linear difference equations

Cites Work

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• Growth and zeros of meromorphic solution of some linear difference equations
• Value distribution of meromorphic solutions of certain difference Painlevé equations
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Estimates for the zeros of differences of meromorphic functions
• Nevanlinna theory and complex differential equations
• Complex difference equations of Malmquist type
• Perturbations of zeros of solutions to second order differential equations with polynomial coefficients
• The zero, pole and order of meromorphic solutions of differential equations with meromorphic coefficients
• 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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