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Euler-Mellin Integr...
Euler-Mellin Integrals and A-Hypergeometric Functions
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- Berkesch, Christine (författare)
- Stockholms universitet,Matematiska institutionen
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- Forsgård, Jens (författare)
- Stockholms universitet,Matematiska institutionen
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- Passare, Mikael (författare)
- Stockholms universitet,Matematiska institutionen
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(creator_code:org_t)
- Michigan Mathematical Journal, 2014
- 2014
- Engelska.
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Ingår i: The Michigan mathematical journal. - : Michigan Mathematical Journal. - 0026-2285 .- 1945-2365. ; 63:1, s. 101-123
- Relaterad länk:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- We consider integrals that generalize both Mellin transforms of rational functions of the form 1/f and 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 this 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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