Meromorphic solutions of some functional equations

DOI10.4310/MAA.1998.V5.N3.A2zbMath0924.39017OpenAlexW160811361MaRDI QIDQ1289309

Niro Yanagihara, Katsuya Ishizaki, Walter Bergweiler

Publication date: 10 November 1999

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

Full work available at URL: https://doi.org/10.4310/maa.1998.v5.n3.a2

zbMATH Keywords

functional equationtranscendental meromorphic solutions

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Functional equations for complex functions (39B32)

Related Items (33)

Existence and growth of meromorphic solutions of some nonlinear \(q\)-difference equations ⋮ Zeros of solutions of a functional equation ⋮ Growth of meromorphic solutions of certain types of \(q\)-difference differential equations ⋮ Existence and properties of meromorphic solutions of some \(q\)-difference equations ⋮ Growth and poles of solutions of systems of complex composite functional equations ⋮ On the meromorphic solutions of some linear difference equations ⋮ Properties on meromorphic solutions of composite functional-differential equations ⋮ On \(q\)-difference Riccati equations and second-order linear \(q\)-difference equations ⋮ Results on logarithmic Borel exceptional values of meromorphic functions with their difference operators ⋮ Properties on solutions of some \(q\)-difference equations ⋮ Analytic general solutions of nonlinear second-order \(q\)-difference equations with a double characteristic value ⋮ Linear 𝑞-difference, difference and differential operators preserving some 𝒜-entire functions ⋮ The zeros of \(q\)-shift difference polynomials of meromorphic functions ⋮ On the growth order of meromorphic solutions of some ultrametric \(q \)-difference equations ⋮ The growth of meromorphic solutions for \(q\)-difference Painlevé IV equation ⋮ Growth of meromorphic solutions of some \(q\)-difference equations ⋮ On a question of Beardon ⋮ Entire functions of small order of growth ⋮ The fixed points of solutions of some \(q\)-difference equations ⋮ The existence of meromorphic solutions of some types of systems of complex functional equations ⋮ On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane ⋮ The existence and growth of solutions for several systems of complex nonlinear difference equations ⋮ Nevanlinna theory for Jackson difference operators and entire solutions of \(q\)-difference equations ⋮ On the Nevanlinna characteristic of \(f(qz)\) and its applications ⋮ Existence of zero-order meromorphic solutions in detecting $q$-difference Painlevé equations ⋮ Some properties about complex difference equations of Malmquist type ⋮ Holomorphic solutions of some functional equations related to nonlinear second orderq-difference equations which has only one characteristic value ⋮ 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 ⋮ Unnamed Item ⋮ Meromorphic functions of finiteφ-order and linearq-difference equations ⋮ On the number of linearly independent admissible solutions to linear differential and linear difference equations ⋮ Meromorphic functions of finite \(\varphi \)-order and linear Askey-Wilson divided difference equations

This page was built for publication: Meromorphic solutions of some functional equations