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arXiv · 1101.3688

Transformations and invariants for dihedral Gauss hypergeometric functions

Raimundas Vidunas
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Abstract

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

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Raimundas Vidunas. 2011-01-19. Transformations and invariants for dihedral Gauss hypergeometric functions. https://doi.org/10.2206/kyushujm.66.143

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