We evaluate the determinant of a matrix whose entries are elliptic hypergeometric terms and whose form is reminiscent of Sylvester matrices. A hypergeometric determinant evaluation of a matrix of this type has appeared in the context of approximation theory, in the work of Feng, Krattenthaler and Xu. I will present lots of background information and some ideas that have proved to be useful many times in dealing with determinants. I also will present a transformation formula for such determinants. This is joint work with Christian Krattenthaler.
The determinant of an elliptic Sylvesteresque matrix
05.06.2018 15:15 - 16:45
Organiser:
Ch. Krattenthaler
Location: