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q-DIFFERENCE EQUATIONS FOR q-HYPERGEOMETRIC INTEGRALS OF TYPE G_2
http://hdl.handle.net/20.500.12000/47630
http://hdl.handle.net/20.500.12000/4763063f4fedb-b671-4a63-9b46-8e3dbe5871b8
名前 / ファイル | ライセンス | アクション |
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Item type | デフォルトアイテムタイプ(フル)(1) | |||||||||
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公開日 | 2021-01-04 | |||||||||
タイトル | ||||||||||
タイトル | q-DIFFERENCE EQUATIONS FOR q-HYPERGEOMETRIC INTEGRALS OF TYPE G_2 | |||||||||
言語 | en | |||||||||
作成者 |
Ito, Masahiko
× Ito, Masahiko
× Takushi, Yamato
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アクセス権 | ||||||||||
アクセス権 | open access | |||||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||
内容記述 | ||||||||||
内容記述タイプ | Other | |||||||||
内容記述 | We provide a simpler proof for an infinite product expression of Gustafson’s q-beta integral of type G_2 with 4 parameters. We extend Gustafson’s q-integral to a q-hypergeometric integral of type G_2 with 6 parameters. Under a constraint of the parameters called the balancing condition, we obtain two explicit forms of q-difference equations satisfied by the q-hypergeometric integral of type G_2. Taking limit for a parameter, the q-hypergeometric integral of type G_2 degenerates to Gustafson’s q-integral, and one of two q-difference equations becomes that satisfied by Gustafson’s q-integral. Using this we consequently have an alternative proof for the infinite product of Gustafson’s q-beta integral again. | |||||||||
内容記述 | ||||||||||
内容記述タイプ | Other | |||||||||
内容記述 | 紀要論文 | |||||||||
出版者 | ||||||||||
言語 | en | |||||||||
出版者 | Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus | |||||||||
出版者 | ||||||||||
言語 | ja | |||||||||
出版者 | 琉球大学理学部数理科学教室 | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
資源タイプ | ||||||||||
資源タイプ | departmental bulletin paper | |||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
出版タイプ | ||||||||||
出版タイプ | VoR | |||||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
識別子 | ||||||||||
識別子 | http://hdl.handle.net/20.500.12000/47630 | |||||||||
識別子タイプ | HDL | |||||||||
収録物識別子 | ||||||||||
収録物識別子タイプ | ISSN | |||||||||
収録物識別子 | 2434-6071 | |||||||||
収録物名 | ||||||||||
言語 | en | |||||||||
収録物名 | Ryukyu Mathematical Journal | |||||||||
書誌情報 |
巻 33, p. 1-59, 発行日 2020-12-28 |