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

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概要

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• Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality九州大学21世紀COEプログラム「機能数理学の構築と展開」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.

著者

• Kajiwara Kenji

  Kyushu University

• Joshi Nalini

  The University of Sydney

• Mazzocco Marta

  The University of Manchester

関連論文

• Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painlevé IV Equation
• Cubic Pencils and Painlevé Hamiltonians

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