Painlevé's theorem on automorphic functions

DOI10.1007/BF02568502zbMath0688.34004MaRDI QIDQ1263714

Keiji Nishioka

Publication date: 1990

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155478

zbMATH Keywords

Schwarz triangle functionsthird order algebraic differential equations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (1)

Ax-Lindemann-Weierstrass with derivatives and the genus 0 Fuchsian groups

Cites Work

• General solutions depending algebraically on arbitrary constants
• A note on the transcendency of Painlevé’s first transcendent

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