MR2297948
Joshi, Nalini, Kajiwara, Kenji and Mazzocco, Marta
Nalini JOSHI, Kenji KAJIWARA and Marta MAZZOCCO
Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painlevé IV Equation
Funkcialaj Ekvacioj. Serio Internacia
49
2006
451--468
http://fe.math.kobe-u.ac.jp/FE/FullPapers/49-3/49_451.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2297948
We consider a Hankel determinant formula for generic solutions of the Painlevé 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.
Painlevé equation, Determinant formula, Isomonodromic problem.
34M55, 34M25, 34E05.
49-451
2006
Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painlevé IV Equation
JOSHI, Nalini, KAJIWARA, Kenji and MAZZOCCO, Marta
Nalini JOSHI, Kenji KAJIWARA and Marta MAZZOCCO
1
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