• Corpus ID: 119173662

Limits of multivariate elliptic beta integrals and related bilinear forms

@article{Bult2011LimitsOM,
  title={Limits of multivariate elliptic beta integrals and related bilinear forms},
  author={Fokko J. van de Bult and Eric M. Rains},
  journal={arXiv: Classical Analysis and ODEs},
  year={2011}
}
In this article we consider the elliptic Selberg integral, which is a BC_n symmetric multivariate extension of the elliptic beta integral. We categorize the limits that are obtained as p → 0, for given behavior of the parameters as p → 0. This article is therefore the multivariate version of our earlier paper "Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions". The integrand of the elliptic Selberg integral is the measure for the BC_n symmetric biorthogonal functions… 
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