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On symmetry of q-Painlev\'e equations and associated linear equations

Classical Analysis and ODEs 2022-01-20 v1 Mathematical Physics math.MP

Abstract

We investigate the symmetry of the linear q-difference equations which are associated with some q-Painlev\'e equations. We apply it for adjustment of the expression of the time evolution on the q-Painlev\'e equations in terms of the Weyl group symmetry.

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Cite

@article{arxiv.2201.07529,
  title  = {On symmetry of q-Painlev\'e equations and associated linear equations},
  author = {Kouichi Takemura},
  journal= {arXiv preprint arXiv:2201.07529},
  year   = {2022}
}

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16 pages