Monodromy groups of hypergeometric functions satisfying algebraicequations

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概要

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• The solutions of the algebraic equation $y^<mn>+xy^<mp>-1=0$ with $n>p$ and $m\geq 2$ satisfy a generalized hypergeometric differential equation with imprimitive finite irreducible monodromy group. Thanks to this fact, we can determine the monodromy group and the Schwarz map of the differential equation.

• 東北大学の論文

著者

• Kato Mitsuo

  Department Of Mathematics College Of Education University Of The Ryukyus

• Noumi Masatoshi

  Department Of Mathematics Graduate School Ofscience And Technology Kobeuniversity

• Noumi Masatoshi

  Department Of Mathematical Sciences University Of Tokyo

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