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Congruence relations for p-adic hypergeometric functions and its transformation formula
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| Title: | Congruence relations for p-adic hypergeometric functions and its transformation formula |
| Other Titles: | p進超幾何関数の合同関係と変数変換公式 |
| Authors: | WANG, Chung Hsuan Browse this author |
| Keywords: | p-adic hypergeometric functions | | p-adic hypergeometric functions of logarithmic type | | congruence relations |
| Issue Date: | 24-Mar-2022 |
| Publisher: | Hokkaido University |
| Abstract: | We 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. |
| Conffering University: | 北海道大学 |
| Degree Report Number: | 甲第14778号 |
| Degree Level: | 博士 |
| Degree Discipline: | 理学 |
| Examination Committee Members: | (主査) 教授 朝倉 政典, 教授 吉永 正彦, 教授 安田 正大 |
| Degree Affiliation: | 理学院（数学専攻） |
| Type: | theses (doctoral) |
| URI: | http://hdl.handle.net/2115/85827 |
| Appears in Collections: | 課程博士 (Doctorate by way of Advanced Course) > 理学院(Graduate School of Science)
学位論文 (Theses) > 博士 （理学）
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