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Determinant formulas for the τ-functions of the Painlevé equations of type A

Published online by Cambridge University Press:  22 January 2016

Yasuhiko Yamada
Yasuhiko Yamada*
Affiliation:
Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan, yamaday@math.kobe-u.ac.jp
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Abstract

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Explicit determinant formulas are presented for the τ-functions of the generalized Painlevé equations of type A. This result allows an interpretation of the τ-functions as the Plücker coordinates of the universal Grassmann manifold.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 156 , 1999 , pp. 123 - 134
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1999

References

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