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Hypergeometric equations with a dihedral monodromy group can be solved interms of elementary functions. This paper gives explicit general expressionsfor quadratic monodromy invariants for these hypergeometric equations, using ageneralization of Clausen's formula and terminating double hypergeometric sums.Besides, pull-back transformations for the dihedral hypergeometric equationsare presented, including Klein's pullback transformations for the equationswith a finite (dihedral) monodromy group.

Transformations and invariants for dihedral Gauss hypergeometric functions