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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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1509.08213v2.pdf (287.7 kB)
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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 | ||||||
言語 | en | |||||
タイトル | Recurrence relations of the multi-indexed orthogonal polynomials. III | |||||
言語 | ||||||
言語 | eng | |||||
DOI | ||||||
識別子タイプ | 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 | ||||||
内容記述タイプ | Other | |||||
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 | ||||||
内容記述タイプ | Abstract | |||||
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. | |||||
資源タイプ(コンテンツの種類) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0022-2488 | |||||
書誌レコードID | ||||||
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 | ||||||
表示名 | Web of Science | |||||
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