# 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…

## 6 Citations

### Limits of multivariate elliptic hypergeometric biorthogonal functions

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In this article we continue the work from arXiv:0902.0621. In that article Eric Rains and the present author considered the limits of the elliptic beta integral as p->0 while the parameters t_r have…

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In this article we extend the results of our article "Limits of elliptic hypergeometric biorthogonal functions" to the multivariate setting. In that article we determined which families of…

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