English

A unified approach to the Painleve Transcendents

Complex Variables 2016-01-18 v1

Abstract

We utilise a recent approach via the so-called re-scaling method to derive a unified and comprehensive theory of the solutions to Painleve's differential equations (I), (II) and (IV), with emphasis on the most elaborate equation (IV).

Keywords

Cite

@article{arxiv.1601.04031,
  title  = {A unified approach to the Painleve Transcendents},
  author = {Norbert Steinmetz},
  journal= {arXiv preprint arXiv:1601.04031},
  year   = {2016}
}

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34 pages