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Casoratian identities for the Wilson and Askey-Wilson polynomials
http://hdl.handle.net/10091/18499
http://hdl.handle.net/10091/1849920d67ceb-53c0-4a51-871c-fd6399388908
名前 / ファイル | ライセンス | アクション |
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Casoratian_identities_for_the_Wilson.pdf (361.7 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2015-07-07 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Casoratian identities for the Wilson and Askey-Wilson polynomials | |||||
言語 | ||||||
言語 | eng | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1016/j.jat.2014.04.009 | |||||
関連名称 | 10.1016/j.jat.2014.04.009 | |||||
キーワード | ||||||
主題 | Askey-Wilson polynomials, Wilson polynomials, Casoratian identities, Discrete quantum mechanics, Darboux transformations | |||||
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 | ACADEMIC PRESS INC ELSEVIER SCIENCE | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | JOURNAL OF APPROXIMATION THEORY. 193:184-209 (2015) | |||||
書誌情報 |
JOURNAL OF APPROXIMATION THEORY 巻 193, p. 184-209, 発行日 2015-05 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Infinitely many Casoratian identities are derived for the Wilson and Askey–Wilson polynomials in parallel to the Wronskian identities for the Hermite, Laguerre and Jacobi polynomials, which were reported recently by the present authors. These identities form the basis of the equivalence between eigenstate adding and deleting Darboux transformations for solvable (discrete) quantum mechanical systems. Similar identities hold for various reduced form polynomials of the Wilson and Askey–Wilson polynomials, e.g. the continuous qq-Jacobi, continuous (dual) (qq-)Hahn, Meixner–Pollaczek, Al-Salam–Chihara, continuous (big) qq-Hermite, etc. | |||||
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 | 0021-9045 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0069365X | |||||
権利 | ||||||
権利情報 | Copyright © 2014 Elsevier Inc. All rights reserved. | |||||
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 | |||||
URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000352676400011 |