Generating functions related to the Okamoto polynomials for the Painlevé IV equation

Hiromichi Goto; Kenji Kajiwara

doi:10.1017/s0004972700038521

Generating functions related to the Okamoto polynomials for the Painlevé IV equation

Hiromichi Goto
, Kenji Kajiwara

応用理論研究部門

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

2 被引用数 (Scopus)

抄録

We construct generating functions for the entries of Hankel determinant formula for the Okamoto polynomials which characterise a class of rational solutions to the Painlevé IV equation. Generating functions are characterised as asymptotic expansions of log derivative of Ai and Bi, which are solutions of the Airy equation. Copyright Clearance Centre, Inc.

本文言語	英語
ページ（範囲）	517-526
ページ数	10
ジャーナル	Bulletin of the Australian Mathematical Society
巻	71
号	3
DOI	https://doi.org/10.1017/s0004972700038521
出版ステータス	出版済み - 6月 2005

!!!All Science Journal Classification (ASJC) codes

数学一般

文献へのアクセス

10.1017/s0004972700038521

他のファイルとリンク

引用スタイル

@article{7f9806c7a5404fe8b7d0246bf5d5f8c7,

title = "Generating functions related to the Okamoto polynomials for the Painlev{\'e} IV equation",

abstract = "We construct generating functions for the entries of Hankel determinant formula for the Okamoto polynomials which characterise a class of rational solutions to the Painlev{\'e} IV equation. Generating functions are characterised as asymptotic expansions of log derivative of Ai and Bi, which are solutions of the Airy equation. Copyright Clearance Centre, Inc.",

author = "Hiromichi Goto and Kenji Kajiwara",

year = "2005",

month = jun,

doi = "10.1017/s0004972700038521",

language = "English",

volume = "71",

pages = "517--526",

journal = "Bulletin of the Australian Mathematical Society",

issn = "0004-9727",

publisher = "Cambridge University Press",

number = "3",

}

TY - JOUR

T1 - Generating functions related to the Okamoto polynomials for the Painlevé IV equation

AU - Goto, Hiromichi

AU - Kajiwara, Kenji

PY - 2005/6

Y1 - 2005/6

N2 - We construct generating functions for the entries of Hankel determinant formula for the Okamoto polynomials which characterise a class of rational solutions to the Painlevé IV equation. Generating functions are characterised as asymptotic expansions of log derivative of Ai and Bi, which are solutions of the Airy equation. Copyright Clearance Centre, Inc.

AB - We construct generating functions for the entries of Hankel determinant formula for the Okamoto polynomials which characterise a class of rational solutions to the Painlevé IV equation. Generating functions are characterised as asymptotic expansions of log derivative of Ai and Bi, which are solutions of the Airy equation. Copyright Clearance Centre, Inc.

UR - https://www.scopus.com/pages/publications/22944489272

UR - https://www.scopus.com/pages/publications/22944489272#tab=citedBy

U2 - 10.1017/s0004972700038521

DO - 10.1017/s0004972700038521

M3 - Article

AN - SCOPUS:22944489272

SN - 0004-9727

VL - 71

SP - 517

EP - 526

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 3

ER -

Generating functions related to the Okamoto polynomials for the Painlevé IV equation

抄録

!!!All Science Journal Classification (ASJC) codes

文献へのアクセス

他のファイルとリンク

フィンガープリント

引用スタイル