The general result of Gol'dberg's theorem concerning the growth of meromorphic solutions of algebraic differential equations

DOI10.1016/j.camwa.2009.07.092zbMath1189.30071OpenAlexW2074561944MaRDI QIDQ979844

Bing Xiao, Wen-Jun Yuan, Jian-Jun Zhang

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.092

zbMATH Keywords

algebraic differential equationsmeromorphic functionnormal familygrowth orderspherical derivative

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (8)

Entire Function Sharing Entire Function with its First Derivative ⋮ Growth of meromorphic function sharing functions and some uniqueness problems ⋮ An open problem of Lü, Li and Yang ⋮ Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations ⋮ Hyper-order and order of meromorphic functions sharing functions ⋮ Meromorphic solutions of some algebraic differential equations ⋮ Meromorphic function sharing entire functions IM with its first derivative ⋮ Some results about functions that share functions with their derivative of higher order

Cites Work

• On meromorphic solutions of first-order differential equations
• Estimates of Derivatives of Meromorphic Functions on Sets of α-Points
• A Heuristic Principle in Complex Function Theory
• Normal families: New perspectives
• On a theorem of gol'dberg concerning meromorphic solutions of algebraic differential equations
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