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:
掲載情報:
Ryukyu Mathematical Journal
ISSN:
2434-6071  CiNii Articles  Webcat Plus  JAIRO
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
eリソース
Loading

類似資料:

1
 
2
 
3
 
4
 
5
 
6
 
7
 
8
 
9
 
10
 
11
 
12
 

Ito, Masahiko, Noumi, Masatoshi

American Institute of Physics

Maz'i︠a︡, V. G., Nikolʹskiĭ, Sergeĭ Mikhaĭlovich, 1905-

Springer-Verlag

Tricomi, F. G. (Francesco Giacomo), 1897-

Interscience Publishers

Orlik, Peter, 1938-, 寺尾, 宏明(1951-)

Mathematical Society of Japan

Mikhlin, Solomon G., 1908-1990

Pergamon

Kelley, Walter G., Peterson, Allan C.

Academic Press

Saulʹev, V. K. (Vladislav Klimentʹevich), Tee, G. J., Stewart, K. L.

Pergamon Press : Distributed in the Western Hemisphere by Macmillan

Vaĭnikko, G

Springer-Verlag

Bach, M, Constanda, C. (Christian), Hsiao, G. C. (George C.), Sändig, A-M, Werner, P

Addison Wesley Longman

Gripenberg, G., Londen, Stig-Olof, 1939-, Staffans, Olof J., 1947-

Cambridge University Press