Abstract
We consider a Hankel determinant formula for generic solutions of the Painleve 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 is also discussed.
Original language | English |
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Pages (from-to) | 451-468 |
Number of pages | 18 |
Journal | Funkcialaj Ekvacioj |
Volume | 49 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2006 |
All Science Journal Classification (ASJC) codes
- Analysis
- Algebra and Number Theory
- Geometry and Topology