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In this article we continue the work from arXiv:0902.0621. In that articleEric Rains and the present author considered the limits of the elliptic betaintegral as p->0 while the parameters t_r have a p-dependence of the formt_r=u_rp^{\alpha_r} (for fixed u_r and certain real numbers \alpha_r). In thisarticle we again consider such limits, but now we let p->0 along a geometricsequence p=xq^{sk} (for some integer s, while k -> \infty), and only allow\alpha_r\in 2/s Z. These choices allow us to take many more limits. Inparticular we now also obtain bilateral basic hypergeometric series as possiblelimits, such as the evaluation formula for a very well poised {}_6\psi_6.

More basic hypergeometric limits of the elliptic hypergeometric beta integral