Admissible meromorphic solutions of algebraic differential equations

DOI10.1016/j.jmaa.2012.07.030zbMath1270.34201OpenAlexW2037841213MaRDI QIDQ713454

Jian-Jun Zhang, Liang-Wen Liao

Publication date: 29 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.07.030

zbMATH Keywords

algebraic differential equationsmeromorphic functionsGackstatter-Laine theoremWittich theorem

Mathematics Subject Classification ID

Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Related Items (5)

ON SOLUTIONS TO NONHOMOGENEOUS ALGEBRAIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATION ⋮ Meromorphic solutions for a class of differential equations and their applications ⋮ Meromorphic solutions to certain class of differential equations in an angular domain ⋮ Unnamed Item ⋮ Some algebraic differential equations with few transcendental solutions

Cites Work

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• On the conjecture of Gackstatter and Laine concerning the differential equation \((w')^ n=\sum^{m}_{j=0}a_ j(z)w^ j\)
• On a conjecture of Gackstatter and Laine
• On the growth of meromorphic solutions of some higher order differential equations
• On the growth of meromorphic solutions of some algebraic differential equations
• On a conjecture of Gackstatter and Laine on some differential equations
• Zur Theorie der gewohnlichen Differentialgleichungen im Komplexen

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