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Recurrence relations of the multi-indexed orthogonal polynomials. III
http://hdl.handle.net/10091/00020581
http://hdl.handle.net/10091/0002058179940e39-2f4f-43cb-870a-a0020ec76256
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||||
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公開日 | 2018-05-08 | |||||||
タイトル | ||||||||
タイトル | Recurrence relations of the multi-indexed orthogonal polynomials. III | |||||||
言語 | ||||||||
言語 | eng | |||||||
DOI | ||||||||
関連識別子 | https://doi.org/10.1063/1.4941087 | |||||||
関連名称 | 10.1063/1.4941087 | |||||||
資源タイプ | ||||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||||
タイプ | journal article | |||||||
著者 |
Odake, Satoru
× Odake, Satoru
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信州大学研究者総覧へのリンク | ||||||||
氏名 | Odake, Satoru | |||||||
URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.uhLeuUkV.html | |||||||
出版者 | ||||||||
出版者 | AMER INST PHYSICS | |||||||
引用 | ||||||||
内容記述 | JOURNAL OF MATHEMATICAL PHYSICS. 57(2):023514 (2016) | |||||||
書誌情報 |
JOURNAL OF MATHEMATICAL PHYSICS 巻 57, 号 2, p. 023514, 発行日 2016-02 |
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抄録 | ||||||||
内容記述 | In Paper II, we presented conjectures of the recurrence relations with constant coefficients for the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson, and Askey-Wilson types. In this paper we present a proof for the Laguerre and Jacobi cases. Their bispectral properties are also discussed, which gives a method to obtain the coefficients of the recurrence relations explicitly. This paper extends to the Laguerre and Jacobi cases the bispectral techniques recently introduced by Gomez-Ullate et al. [J. Approx. Theory 204, 1 (2016); e-print arXiv: 1506.03651 [math. CA]] to derive explicit expressions for the coefficients of the recurrence relations satisfied by exceptional polynomials of Hermite type. (C) 2016 AIP Publishing LLC. | |||||||
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内容記述 | Article | |||||||
ISSN | ||||||||
収録物識別子タイプ | ISSN | |||||||
収録物識別子 | 0022-2488 | |||||||
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収録物識別子タイプ | NCID | |||||||
収録物識別子 | AA00701758 | |||||||
権利 | ||||||||
権利情報 | © 2016 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. / The following article appeared in JOURNAL OF MATHEMATICAL PHYSICS. 57(2):023514 (2016) and may be found at (https://doi.org/10.1063/1.4941087). | |||||||
出版タイプ | ||||||||
出版タイプ | AM | |||||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||
WoS | ||||||||
URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000371620000076 |