Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
MONODROMY GROUPS OF HYPERGEOMETRIC FUNCTIONS SATISFYING ALGEBRAIC EQUATIONS
MITSUO KATOMASATOSHI NOUMI
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2003 年 55 巻 2 号 p. 189-205

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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.
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© 2003 by THE TOHOKU UNIVERSITY
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