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Determination of accessory parameters in a system of the Okubo normal form

Classical Analysis and ODEs 2021-11-24 v5

Abstract

A system of differential equations of the Okubo normal form containing accessory parameters is considered. A condition for determining special values of the accessory parameters is given. It is shown that the special values give the differential equation satisfied by a product of the Gauss hypergeometric functions.

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Cite

@article{arxiv.2005.05515,
  title  = {Determination of accessory parameters in a system of the Okubo normal form},
  author = {Toshiaki Yokoyama},
  journal= {arXiv preprint arXiv:2005.05515},
  year   = {2021}
}

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20 pages