Abstract
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.
Citation
Mitsuo Kato. Masatoshi Noumi. "Monodromy groups of hypergeometric functions satisfying algebraic equations." Tohoku Math. J. (2) 55 (2) 189 - 205, 2003. https://doi.org/10.2748/tmj/1113246938
Information