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March 2001 The first, the second and the fourth Painlevé transcendents are of finite order
Shun Shimomura
Proc. Japan Acad. Ser. A Math. Sci. 77(3): 42-45 (March 2001). DOI: 10.3792/pjaa.77.42

Abstract

We show that every solution of the first Painlevé equation has the finite growth order. The second and the fourth Painlevé equations have the same property.

Citation

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Shun Shimomura. "The first, the second and the fourth Painlevé transcendents are of finite order." Proc. Japan Acad. Ser. A Math. Sci. 77 (3) 42 - 45, March 2001. https://doi.org/10.3792/pjaa.77.42

Information

Published: March 2001
First available in Project Euclid: 23 May 2006

zbMATH: 1097.34065
MathSciNet: MR1822152
Digital Object Identifier: 10.3792/pjaa.77.42

Subjects:
Primary: 34M55
Secondary: 30D35

Keywords: growth order , Painlevé equations

Rights: Copyright © 2001 The Japan Academy

Vol.77 • No. 3 • March 2001
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