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Confluent hypergeometric systems associated with principal nilpotent p-tuples
| Title: | Confluent hypergeometric systems associated with principal nilpotent p-tuples |
| Authors: | Saito, Mutsumi Browse this author →KAKEN DB | | Takeda, Hiroyasu Browse this author |
| Keywords: | Hypergeometric systems | | confluence | | principal nilpotent p-tuples |
| Issue Date: | Nov-2018 |
| Publisher: | World Scientific Publishing |
| Journal Title: | International journal of mathematics |
| Volume: | 29 |
| Issue: | 12 |
| Start Page: | 1850079 |
| Publisher DOI: | 10.1142/S0129167X18500799 |
| Abstract: | Kimura and Takano showed that taking limits of regular elements of gl(n) corresponds to the process of confluence of Aomoto-Gel'fand systems. We introduce a hypergeometric system associated with a principal nilpotent p-tuple, and, by using the principal nilpotent p-tuple, we directly deform a hypergeometric system of Gauss type into that of Airy type. Moreover, we explicitly describe the deformation. |
| Rights: | Electronic version of an article published as International Journal of Mathematics Vol. 29, No. 12, 2018, 1850079 https://doi.org/10.1142/S0129167X18500799 © World Scientific Publishing Company https://www.worldscientific.com/worldscinet/ijm |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/75980 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 齋藤 睦
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