Open AccessA unified approach to the Painlevé transcendents
Author(s) -
Norbert Steinmetz
Publication year - 2017
Publication title -
annales academiae scientiarum fennicae mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.865
H-Index - 37
eISSN - 1798-2383
pISSN - 1239-629X
DOI - 10.5186/aasfm.2017.4203
Subject(s) - mathematics , calculus (dental) , mathematical economics , medicine , dentistry
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).
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