Limits of elliptic hypergeometric integrals
نویسندگان
چکیده
منابع مشابه
Limits of elliptic hypergeometric integrals
In [16], the author proved a number of multivariate elliptic hypergeometric integrals. The purpose of the present note is to explore more carefully the various limiting cases (hyperbolic, trigonometric, rational, and classical) that exist. In particular, we show (using some new estimates of generalized gamma functions) that the hyperbolic integrals (previously treated as purely formal limits) a...
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We prove a pair of transformations relating elliptic hypergeometric integrals of different dimensions, corresponding to the root systems BCn and An; as a special case, we recover some integral identities conjectured by van Diejen and Spiridonov. For BCn, we also consider their “Type II” integral. Their proof of that integral, together with our transformation, gives rise to pairs of adjoint inte...
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ژورنال
عنوان ژورنال: The Ramanujan Journal
سال: 2007
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-007-9055-3