Dihedral evaluations of hypergeometric functions with the Kleinian projective monodromy

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.

18 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1808.04524

References in corpus (2)

• Algebraic transformations of Gauss hypergeometric functions
• Dihedral Gauss hypergeometric functions

Cited by in corpus (1)

• Darboux evaluations for hypergeometric functions with the projective monodromy PSL(2,F7)