Meromorphic solutions of some linear functional equations

DOI10.1007/s000100050143zbMath0963.39028OpenAlexW2007972807MaRDI QIDQ1587847

Jarkko Rieppo, Degui Yang, Janne Heittokangas, Ilpo Laine

Publication date: 18 June 2001

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000100050143

zbMATH Keywords

Nevanlinna theoryexponent of convergencemeromorphic solutionslinear functional equationgrowth estimatescomplex functional equations

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Functional equations for complex functions (39B32)

Related Items (14)

On constructing solutions for the functional equation \(Z(x, y, n) = Z(a_{11} x + a_{12} y, a_{21} x + a_{22} y, n + 1)\) ⋮ Zeros of solutions of a functional equation ⋮ Properties on meromorphic solutions of composite functional-differential equations ⋮ On \(q\)-difference Riccati equations and second-order linear \(q\)-difference equations ⋮ Properties on solutions of some \(q\)-difference equations ⋮ On the growth order of meromorphic solutions of some ultrametric \(q \)-difference equations ⋮ On the growth of solutions of difference equations in ultrametric fields ⋮ On the Nevanlinna Order of Meromorphic Solutions to Linear Analytic Difference Equations ⋮ On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane ⋮ Growth of meromorphic solutions of linear difference equations ⋮ On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions ⋮ Growth of solutions to two systems of \(q\)-difference differential equations ⋮ Meromorphic functions of finiteφ-order and linearq-difference equations ⋮ Remarks on complex difference equations

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