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arXiv · 1502.01389

On Transformations in the Painlev\'e Family

Joel Nagloo
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Abstract

In this paper we show that generic Painlev\'e equations from different families are orthogonal. In particular, this means that there are no general Backlund transformations between Painlev\'e equations from the different families $P_I-P_{VI}$ .

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Joel Nagloo. 2015-02-04. On Transformations in the Painlev\'e Family. https://doi.org/10.1016/j.matpur.2016.10.006

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