We produce a decomposition of the parameter space of the A-hypergeometric system associated to a projective monomial curve as a union of an arrangement of lines and its complement, in such a way that the analytic behavior of the solutions of the system is explicitly controlled within each term of the union.
Bibliographical noteFunding Information:
CBZ was partially supported by National Science Foundation Grants DMS 1440537 and OISE 0964985 . JF was partially supported by the G.S. Magnusson Fund of the Royal Swedish Academy of Sciences . LFM was partially supported by National Science Foundation Grants DMS 0703866 and DMS 1001763 , and a Sloan Research Fellowship .
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- A-hypergeometric functions
- Euler integrals
- Mellin transforms
- Monomial curves