q-DIFFERENCE EQUATIONS FOR q-HYPERGEOMETRIC INTEGRALS OF TYPE G_2

資料種別:

論文（リポジトリ）

責任表示:

Ito, Masahiko ; Takushi, Yamato

言語:

英語

出版情報:

Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus — 琉球大学理学部数理科学教室, 2020-12-28

著者名:

• Ito, Masahiko
• Takushi, Yamato

掲載情報:

Ryukyu Mathematical Journal

ISSN:

2434-6071      

巻:

33

開始ページ:

1

終了ページ:

59

バージョン:

publisher

概要:

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. 続きを見る

URL:

http://hdl.handle.net/20.500.12000/47630