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Classical solutions of the third Painlevé equation

Published online by Cambridge University Press:  22 January 2016

Yoshihiro Murata*
Affiliation:
Faculty of Economics, Nagasaki University, 4-2-1, Katafuchi, Nagasaki-shi 850, Japan
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The big problem “Do Painlevé equations define new functions?”, what is called the problem of irreducibilities of Painlevé equations, was essentially solved by H. Umemura [16], [17] and K. Nishioka [9].

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1995