17 citations · 57 across the 14 of their papers we have counts for
3 papers · 1 filter
Rational solutions of dressing chains and higher order Painleve equations
D. Gomez-Ullate, Y. Grandati, S. Lombardo +1
We present a new approach to determine the rational solutions of the higher order Painleve equations associated to periodic dressing chain systems. We obtain new sets of solutions,…
Cyclic Maya diagrams and rational solutions of higher order Painlevé systems
Peter A. Clarkson, David Gómez-Ullate, Yves Grandati +1
This paper focuses on the construction of rational solutions for the Painlevé system, also called the Noumi-Yamada system, which are considered the higher order generaliza…
Shape invariance and equivalence relations for pseudowronskians of Laguerre and Jacobi polynomials
David Gomez-Ullate, Yves Grandati, Robert Milson
In a previous paper we derived equivalence relations for pseudo-Wronskian determinants of Hermite polynomials. In this paper we obtain the analogous result for Laguerre and Jacobi…