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arxiv: 1802.04939 · v1 · pith:TI6ZXKBOnew · submitted 2018-02-14 · 🧮 math.CA · math.AP

On Mellin-Barnes integral representations for GKZ hypergeometric functions

classification 🧮 math.CA math.AP
keywords hypergeometricintegralmellin-barnesrepresentationsanalyticbasisconsiderconstruct
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We consider Mellin-Barnes integral representations of GKZ hypergeometric equations. We construct integration contours in an explicit way and show that suitable analytic continuations give rise to a basis of solutions.

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