Monodromy groups of hypergeometric functions satisfying algebraic equations
Kato, Mitsuo ; Noumi, Masatoshi
Tohoku Math. J. (2), Tome 55 (2003) no. 2, p. 189-205 / Harvested from Project Euclid
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The solutions of the algebraic equation $y^{mn}+x y^{mp}-1=0$ 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.
Publié le : 2003-06-14
Classification:  Hypergeometric function,  generalized binomial function,  monodromy group,  33C20,  34M35 
@article{1113246938,
     author = {Kato, Mitsuo and Noumi, Masatoshi},
     title = {Monodromy groups of hypergeometric functions satisfying algebraic equations},
     journal = {Tohoku Math. J. (2)},
     volume = {55},
     number = {2},
     year = {2003},
     pages = { 189-205},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113246938}
}

Kato, Mitsuo; Noumi, Masatoshi. Monodromy groups of hypergeometric functions satisfying algebraic equations. Tohoku Math. J. (2), Tome 55 (2003) no. 2, pp.  189-205. http://gdmltest.u-ga.fr/item/1113246938/