Funkcialaj Ekvacioj
Print ISSN : 0532-8721
Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painlevé IV Equation
Nalini JoshiKenji KajiwaraMarta Mazzocco
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2006 年 49 巻 3 号 p. 451-468

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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.
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© 2006 by the Division of Functional Equations, The Mathematical Society of Japan
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