2024-03-28T14:55:26Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/858272022-11-17T02:08:08Zhdl_2115_54835hdl_2115_20136hdl_2115_54822hdl_2115_54823hdl_2115_20124Congruence relations for p-adic hypergeometric functions and its transformation formulap進超幾何関数の合同関係と変数変換公式WANG, Chung Hsuan朝倉, 政典吉永, 正彦安田, 正大open accessp-adic hypergeometric functionsp-adic hypergeometric functions of logarithmic typecongruence relationsWe introduce new kinds of p-adic hypergeometric functions. We show these functions satisfy congruence relations similar to Dwork's p-adic hypergeometric functions, so they are convergent functions. We also show that there is a transformation formula between our new p-adic hypergeometric functions and p-adic hypergeometric functions of logarithmic type defined in [1] in a particular case.(主査) 教授 朝倉 政典, 教授 吉永 正彦, 教授 安田 正大理学院(数学専攻)Hokkaido University2022-03-24engdoctoral thesisVoRhttps://doi.org/10.14943/doctoral.k14778http://hdl.handle.net/2115/8582710.14943/doctoral.k14778http://hdl.handle.net/2115/8582341p甲第14778号博士(理学)2022-03-2410101北海道大学https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/85827/1/Wang_Chung_Hsuan.pdfapplication/pdf506.46 KB2022-03-24