On the conjecture of Gackstatter and Laine concerning the differential equation \((w')^ n=\sum^{m}_{j=0}a_ j(z)w^ j\)

DOI10.2996/kmj/1138036720zbMath0534.34007OpenAlexW2050276189WikidataQ115224643 ScholiaQ115224643MaRDI QIDQ790320

Nobushige Toda

Publication date: 1983

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036720

zbMATH Keywords

meromorphic coefficientsadmissible solution

Mathematics Subject Classification ID

Ordinary differential equations in the complex domain (34M99)

Related Items (5)

On the growth of meromorphic solutions of some algebraic differential equations ⋮ Admissible solutions of higher order differential equations ⋮ On a conjecture of Gackstatter and Laine on some differential equations ⋮ Admissible meromorphic solutions of algebraic differential equations ⋮ On the growth of non-admissible solutions of the differential equation \((w')^ n=\sum ^{m}_{j=0}a_ jw^ j\)

Cites Work

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• On a conjecture of Gackstatter and Laine
• On the growth of meromorphic solutions of the differential equation \((y')^m=R(z,y)\)
• On Integral and Meromorphic Functions
• Zur Theorie der gewohnlichen Differentialgleichungen im Komplexen
• Sur la dérivée des fonctions algébroïdes

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