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2004 Classical transcendental solutions of the Painlevé equations and their degeneration
Tetsu Masuda
Tohoku Math. J. (2) 56(4): 467-490 (2004). DOI: 10.2748/tmj/1113246745

Abstract

We present a determinant expression for a family of classical transcendental solutions of the Painlevé V and the Painlevé VI equation. Degeneration of these solutions along the process of coalescence for the Painlevé equations is discussed.

Citation

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Tetsu Masuda. "Classical transcendental solutions of the Painlevé equations and their degeneration." Tohoku Math. J. (2) 56 (4) 467 - 490, 2004. https://doi.org/10.2748/tmj/1113246745

Information

Published: 2004
First available in Project Euclid: 11 April 2005

zbMATH: 1087.34063
MathSciNet: MR2097156
Digital Object Identifier: 10.2748/tmj/1113246745

Subjects:
Primary: 34M55
Secondary: 33C05 , 33C15 , 33E17

Rights: Copyright © 2004 Tohoku University

Vol.56 • No. 4 • 2004
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