Generating Function Associated with the Determinant Formula for the Solutions of the Painlevé II Equation

نویسندگان

  • Nalini JOSHI
  • Kenji KAJIWARA
  • Marta MAZZOCCO
چکیده

In this paper we consider a Hankel determinant formula for generic solutions of the Painlevé II equation. We show that the generating functions for the entries of the Hankel determinants are related to the asymptotic solution at infinity of the linear problem of which the Painlevé II equation describes the isomonodromic deformations.

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تاریخ انتشار 2004