On the growth of meromorphic solutions of some algebraic differential equations

DOI10.2748/tmj/1178228412zbMath0628.34007OpenAlexW1993477601MaRDI QIDQ1093065

Nobushige Toda

Publication date: 1986

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228412

zbMATH Keywords

meromorphic coefficientsmeromorphic solutions

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

Related Items (4)

On algebroid solutions of some algebraic differential equations in the complex plane ⋮ On a conjecture of Gackstatter and Laine on some differential equations ⋮ Admissible solutions of second order differential equations. II ⋮ Admissible meromorphic solutions of algebraic differential equations

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 an algebraic differential equation
• On the growth of non-admissible solutions of the differential equation \((w')^ n=\sum ^{m}_{j=0}a_ jw^ j\)
• Estimates for the Nevanlinna characteristics of some classes of meromorphic functions and their applications to differential equations
• Zur Theorie der gewohnlichen Differentialgleichungen im Komplexen
• Meromorphic solutions of algebraic differential equations

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