20 citations · 55 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
An elliptic hypergeometric integral with W(F_4) symmetry
Fokko J. van de Bult
In this article we give a new transformation between elliptic hypergeometric beta integrals, which gives rise to a Weyl group symmetry of type F_4. The transformation is a generali…
Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions
Fokko van de Bult, Eric Rains
We describe a uniform way of obtaining basic hypergeometric functions as limits of the elliptic beta integral. This description gives rise to the construction of a polytope with a…