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- W1480147409 abstract "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 a p-dependence of the form t_r=u_rp^{alpha_r} (for fixed u_r and certain real numbers alpha_r). In this article we again consider such limits, but now we let p->0 along a geometric sequence p=xq^{sk} (for some integer s, while k -> infty), and only allow alpha_rin 2/s Z. These choices allow us to take many more limits. In particular we now also obtain bilateral basic hypergeometric series as possible limits, such as the evaluation formula for a very well poised {}_6psi_6." @default.
- W1480147409 created "2016-06-24" @default.
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- W1480147409 date "2013-07-09" @default.
- W1480147409 modified "2023-09-27" @default.
- W1480147409 title "More basic hypergeometric limits of the elliptic hypergeometric beta integral" @default.
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