@article{oai:u-ryukyu.repo.nii.ac.jp:02011329,
 author = {Ito, Masahiko and Takushi, Yamato},
 journal = {Ryukyu Mathematical Journal},
 month = {Dec},
 note = {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., 紀要論文},
 pages = {1--59},
 title = {q-DIFFERENCE EQUATIONS FOR q-HYPERGEOMETRIC INTEGRALS OF TYPE G_2},
 volume = {33},
 year = {2020}
}