Yousuke Ohyama, Shoji Okumura
Published 2005-12-12Version 1
We will classify all rational transformations which change the confluent hypergeometric equations to linear equations of the Painleve type from the first to the fifth. We show such rational transformations correspond to almost all of algebraic solutions of the Painleve equations from the first to fifth up to the Backlund transformations.
Remarks Towards the Classification of $RS_4^2(3)$-Transformations and Algebraic Solutions of the Sixth Painlevé Equation
On Algebraic Solutions to Painleve VI
Explicit solution of the problem of equivalence for some Painleve equations
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