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Limits of multivariate elliptic hypergeometric biorthogonal functions
Fokko J. van de Bult, Eric M. Rains
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 fam…
Limits of elliptic hypergeometric biorthogonal functions
Fokko J. van de Bult, Eric M. Rains
The purpose of this article is to bring structure to (basic) hypergeometric biorthogonal systems, in particular to the q-Askey scheme of basic hypergeometric orthogonal polynomials…
Limits of multivariate elliptic beta integrals and related bilinear forms
Fokko J. van de Bult, Eric M. Rains
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 obtaine…
Self cup products and the theta characteristic torsor
Bjorn Poonen, Eric Rains
We give a general formula relating self cup products in cohomology to connecting maps in nonabelian cohomology, and apply it to obtain a formula for the self cup product associated…