{"created":"2022-02-01T06:41:59.845844+00:00","id":2011329,"links":{},"metadata":{"_buckets":{"deposit":"f5f17fd3-c2a7-472c-812e-37579f7f3b82"},"_deposit":{"id":"2011329","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"2011329"},"status":"published"},"_oai":{"id":"oai:u-ryukyu.repo.nii.ac.jp:02011329","sets":["1642837622505:1642837628262:1642837641851","1642838403551:1642838406414"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_1551255647225":"q-DIFFERENCE EQUATIONS FOR q-HYPERGEOMETRIC INTEGRALS OF TYPE G_2","subitem_1551255648112":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ito, Masahiko","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"Takushi, Yamato","creatorNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_1522299639480":"open access","subitem_1600958577026":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"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.","subitem_description_type":"Other"},{"subitem_description":"紀要論文","subitem_description_type":"Other"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_1522300295150":"en","subitem_1522300316516":"Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus"},{"subitem_1522300295150":"ja","subitem_1522300316516":"琉球大学理学部数理科学教室"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_1551255818386":"eng"}]},"item_1617186783814":{"attribute_name":"Identifier","attribute_value_mlt":[{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/20.500.12000/47630"}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_1522646500366":"ISSN","subitem_1522646572813":"2434-6071"}]},"item_1617186941041":{"attribute_name":"Source Title","attribute_value_mlt":[{"subitem_1522650068558":"en","subitem_1522650091861":"Ryukyu Mathematical Journal"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020-12-28","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"59","bibliographicPageStart":"1","bibliographicVolumeNumber":"33"}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_1522305645492":"VoR","subitem_1600292170262":"http://purl.org/coar/version/c_970fb48d4fbd8a85"}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","filename":"vol33p001.pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://u-ryukyu.repo.nii.ac.jp/record/2011329/files/vol33p001.pdf"},"version_id":"8662a362-e254-4563-9232-d1a33e342f19"}]},"item_title":"q-DIFFERENCE EQUATIONS FOR q-HYPERGEOMETRIC INTEGRALS OF TYPE G_2","item_type_id":"15","owner":"1","path":["1642837641851","1642838406414"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2021-01-04"},"publish_date":"2021-01-04","publish_status":"0","recid":"2011329","relation_version_is_last":true,"title":["q-DIFFERENCE EQUATIONS FOR q-HYPERGEOMETRIC INTEGRALS OF TYPE G_2"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-10-31T06:21:10.354857+00:00"}