Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painlev\'e IV Equation
Exactly Solvable and Integrable Systems
2007-05-23 v3
Abstract
We consider a Hankel determinant formula for generic solutions of the Painlev\'e IV equation. We show that the generating functions for the entries of the Hankel determinants are related to the asymptotic solution at infinity of the isomonodromic problem. Summability of these generating functions are also discussed.
Keywords
Cite
@article{arxiv.nlin/0512041,
title = {Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painlev\'e IV Equation},
author = {Nalini Joshi and Kenji Kajiwara and Marta Mazzocco},
journal= {arXiv preprint arXiv:nlin/0512041},
year = {2007}
}
Comments
17 pages; Corrected some errors