English

On reducible monodromy representations of some generalized Lam\'e equation

Classical Analysis and ODEs 2017-05-16 v1

Abstract

In this note, we compute the explicit formula of the monodromy data for a generalized Lam\'{e} equation when its monodromy is reducible but not completely reducible. We also solve the corresponding Riemman-Hilbert problem.

Keywords

Cite

@article{arxiv.1610.02158,
  title  = {On reducible monodromy representations of some generalized Lam\'e equation},
  author = {Zhijie Chen and Ting-Jung Kuo and Chang-Shou Lin and Kouichi Takemura},
  journal= {arXiv preprint arXiv:1610.02158},
  year   = {2017}
}

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11 pages