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Basic Hypergeometric Functions as Limits...
van de Bult, Fokko...
Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions by van de Bult, Fokko ( Author )
N.A
03-02-2009
We describe a uniform way of obtaining basic hypergeometric functions as limits of the elliptic beta integral. This description gives rise to the construction of a polytope with a different basic hypergeometric function attached to each face of this polytope. We can subsequently obtain various relations, such as transformations and three-term relations, of these functions by considering geometrical properties of this polytope. The most general functions we describe in this way are sums of two very-well-poised 10ϕ9's and their Nassrallah-Rahman type integral representation.
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English
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MYR 0.00
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https://arxiv.org/abs/0902.0621
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