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- W2951575027 abstract "We consider integrals that generalize both the Mellin transforms of rational functions of the form 1/f and the classical Euler integrals. The domains of integration of our so-called Euler--Mellin integrals are naturally related to the coamoeba of f, and the components of the complement of the closure of the coamoeba give rise to a family of these integrals. After performing an explicit meromorphic continuation of Euler--Mellin integrals, we interpret them as A-hypergeometric functions and discuss their linear independence and relation to Mellin--Barnes integrals." @default.
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- W2951575027 date "2011-03-31" @default.
- W2951575027 modified "2023-09-27" @default.
- W2951575027 title "Euler--Mellin integrals and A-hypergeometric functions" @default.
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