On the meromorphic solutions of an equation of Hayman.

DOI10.1016/S0022-247X(03)00191-4zbMath1035.34098MaRDI QIDQ1399359

Rodney G. Halburd, Yik-Man Chiang

Publication date: 30 July 2003

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

zbMATH Keywords

entire functiondifferential equationmeromorphic functionorder of growthWiman-Valiron theory

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (11)

Exact Meromorphic Stationary Solutions of the Real Cubic Swift-Hohenberg Equation ⋮ On Hayman's differential equations ⋮ On some generalized Painlevé and Hayman type equations with meromorphic solutions in a bounded domain ⋮ Hayman’s classical conjecture on some nonlinear second-order algebraic ODEs ⋮ All admissible meromorphic solutions of certain type of second degree second order algebraic ODEs ⋮ Meromorphic solutions of autonomous ordinary differential equations without the finiteness property ⋮ On topological behaviour of solutions of some algebraic differential equations ⋮ Nonlinear Loewy factorizable algebraic ODEs and Hayman's conjecture ⋮ Meromorphic solutions of higher order Briot–Bouquet differential equations ⋮ On singularities of certain non-linear second-order ordinary differential equations ⋮ Classification of meromorphic integrals for autonomous nonlinear ordinary differential equations with two dominant monomials

Cites Work

• The growth of solutions of algebraic differential equations
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III
• Über das Anwachsen der Lösungen homogener algebraischer Differentialgleichungen zweiter Ordnung
• Some results on analytic and meromorphic solutions of algebraic differential equations
• The minimum modulus of integral functions of order one
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
• On the extension of the Painlevé property to difference equations
• Shear-free relativistic fluids and the absence of movable branch points
• On the Growth of Certain Meromorphic Solutions of Arbitrary Second Order Algebraic Differential Equations
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