Rational solutions to d-PIV
arXiv:solv-int/9705002
Abstract
We study the rational solutions of the discrete version of Painleve's fourth equation d-PIV. The solutions are generated by applying Schlesinger transformations on the seed solutions -2z and -1/z. After studying the structure of these solutions we are able to write them in a determinantal form that includes an interesting parameter shift that vanishes in the continuous limit.
11 pages, LaTeX2e with epic. To appear in the proceedings of SIDE II, Canterbury 1996