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Mathematics, Classical Analysis and ODEs
Abstract:
Algebraic hypergeometric functions can be compactly expressed as radical or
dihedral functions on pull-back curves where the monodromy group is much
simpler. This article considers the classical 3F2-functions with the projective
monodromy group PSL(2,F7) and their pull-back transformations of degree 21 that
reduce the projective monodromy to the dihedral group D4 of 8 elements.