MR2154378
Kato, Mitsuo
Mitsuo KATO
Generalized Hypergeometric Functions ${}_nF_{n-1}$ with Monodromy Groups $S_{n+1}$
Funkcialaj Ekvacioj. Serio Internacia
48
2005
57--63
http://fe.math.kobe-u.ac.jp/FE/FullPapers/48-1/48_57.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2154378
The generalized hypergeometric differential equations of rank $n$ whose monodromy groups are the symmetric group of degree $n+1$ are strongly related to algebraic equations of degee $n+1$. Using this relations, we give explicit monodromy representations of the differential equations.
Generalized hypergeometric function, Monodromy group, Generalized binomial function.
33C20.
48-57
2005
Generalized Hypergeometric Functions ${}_nF_{n-1}$ with Monodromy Groups $S_{n+1}$
KATO, Mitsuo
Mitsuo KATO
1
Beukers, F.; Heckman, G.
Monodromy for the hypergeometric function ${}_nF_{n-1}$
Invent. Math.
95
1989
325-354
MR0974906
2
Graham, R.; Knuth, D.; Patashnik, O.
Concrete mathematics
Addison-Wesley Publishing Company
1989
MR1001562
3
Kato, M.; Noumi, M.
Monodromy groups of hypergeometric functions satisfying algebraic equations
Tohoku Math. J.
55
2003
189-205
MR1979496