Open Access
March 2008 Principally tame regular sequences associated with the fourth Painlevé hierarchy with a large parameter
Takashi Aoki, Naofumi Honda
Proc. Japan Acad. Ser. A Math. Sci. 84(3): 42-47 (March 2008). DOI: 10.3792/pjaa.84.42

Abstract

The notion of principally tame regular sequences is introduced for systems of polynomials with a weight vector. As an application, construction of formal solutions is discussed for the systems of nonlinear differential equations which belong to the fourth Painlevé hierarchy with a large parameter.

Citation

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Takashi Aoki. Naofumi Honda. "Principally tame regular sequences associated with the fourth Painlevé hierarchy with a large parameter." Proc. Japan Acad. Ser. A Math. Sci. 84 (3) 42 - 47, March 2008. https://doi.org/10.3792/pjaa.84.42

Information

Published: March 2008
First available in Project Euclid: 3 March 2008

zbMATH: 1153.34339
MathSciNet: MR2398578
Digital Object Identifier: 10.3792/pjaa.84.42

Subjects:
Primary: 34E05 , 34E13 , 34E15

Keywords: Painlevé hierarchies , regular sequences , the exact WKB analysis

Rights: Copyright © 2008 The Japan Academy

Vol.84 • No. 3 • March 2008
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