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A unified approach to the Painleve Transcendents

Research paper by Norbert Steinmetz

Indexed on: 15 Jan '16Published on: 15 Jan '16Published in: Mathematics - Complex Variables



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).