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- W2023395615 abstract "By means of the author's differential-difference operators one constructs a first-order system of linear differential equations on the real plane with rational singularities on the axes of a regular 2k gon (k=2,3,4,...).There are 4k of these axes, joining opposite vertices or joining mid-points of opposite edges.The solutions are found explicitly in terms of classical 2 F 1 -type hypergeomtric functions. Analytic continuation can be applied to the solutions in the complement of the singularity set in the complexification of the real plane.This leads to a monodromy representation of the Artin generlized braid group associated to the symmetry group of the regular 2k-gon, that is, the dihedral group of order 4k.This representations is analyzed in terms of the Hecke algebra of the dihedral group." @default.
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- W2023395615 date "1993-10-01" @default.
- W2023395615 modified "2023-10-16" @default.
- W2023395615 title "Monodromy of hypergeometric functions for dihedral groups" @default.
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- W2023395615 doi "https://doi.org/10.1080/10652469308819011" @default.
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