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A celebrated theorem of Klein implies that any hypergeometric differential equation with algebraic solutions is a pull-back of one of the few standard hypergeometric equations with algebraic solutions.
Algebraic solutions of differential equations
N. Katz · 1972
Earlier work this paper cites.
On second order linear differential equations with algebraic solutions
F. Baldassarri and B. Dwork · 1979
Earlier work this paper cites.
Liouvillian and algebraic solutions of second and third order linear differential equations
M. F. Singer and F. Ulmer · 1993
Earlier work this paper cites.
Differential equations and finite groups
M. van der Put and F. Ulmer · 1998
Earlier work this paper cites.
Special Functions
G.E. Andrews, R. Askey, and R. Roy · 1999
Earlier work this paper cites.
Gauss’ hypergeometric function
F. Beukers · 2002
Cited alongside, same era.
Recent algorithms for solving second order differential equations
M. Berkenbosch, M. van Hoeij, and J.-A. Weil · 2003
Cited alongside, same era.
Contiguous relations of hypergeometric series
R. Vidūnas · 2003
Cited alongside, same era.
Algorithms and Moduli spaces for Differential Equations
M. Berkenbosch · 2004
Cited alongside, same era.
Polynomials associated with the contiguity relations of the hypergeometric functions with finite monodromy groups
H. Ochiai and M. Yoshida · 2004
Cited alongside, same era.
Contribution a l’etude des equations lineaires homogenes integrables algebriquement
A. Boulanger
Cited in the paper.
La théorie des formes dans l’intégration des équations différentielles lineéaires du second ordre
F. Brioschi
Cited in the paper.
Uber die linearen Differentialgleichungen zweiter Ordnung, welche algebraische Integralen besitzen, und eine neue Anwendung der Invariantentheorie
L. Fuchs
Cited in the paper.
Uber lineare differentialgleichungen I
F. Klein
Cited in the paper.
Uber lineare differentialgleichungen II
F. Klein
Cited in the paper.
Vorlesungen über das Ikosaeder und die Auflösung del Gleichungen vom fünften Grade
F. Klein
Cited in the paper.
Méthodes pour obtenir les integrales algebriques des equations differentielles lineaires du second ordre
P. Th. Pepin
Cited in the paper.
Algebraic transformations of Gauss hypergeometric functions
R. Vidūnas · 2004
Later among the works it cites.
Solving second order linear differential equations with Klein’s theorem
M. van Hoeij and J.-A. Weil · 2005
Later among the works it cites.
Darboux evaluations of algebraic Gauss hypergometric functions
R. Vidūnas · 2005
Later among the works it cites.
Expressions for values of the gamma function
R. Vidūnas · 2005
Later among the works it cites.
Dihedral Gauss hypergeometric functions
R. Vidūnas · 2008
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