New Transformations for Painlev\'e's Third Transcendent
经典分析与常微分方程
2007-05-23 v1 可精确求解与可积系统
摘要
We present transformations relating the third transcendent of Painlev\'e with parameter sets located at the corners of the Weyl chamber for the symmetry group of the system, the affine Weyl group of the root system , to those at the origin. This transformation entails a scaling of the independent variable, and implies additive identities for the canonical Hamiltonians and product identities for the -functions with these parameter sets.
引用
@article{arxiv.math/0210019,
title = {New Transformations for Painlev\'e's Third Transcendent},
author = {N. S. Witte},
journal= {arXiv preprint arXiv:math/0210019},
year = {2007}
}
备注
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