ダウンロード数: 476
このアイテムのファイル:
ファイル | 記述 | サイズ | フォーマット | |
---|---|---|---|---|
1.3204973.pdf | 220.79 kB | Adobe PDF | 見る/開く |
タイトル: | Studies on monodromy preserving deformation of linear differential equations on elliptic curves |
著者: | Mano, Toshiyuki |
著者名の別形: | 眞野, 智行 |
発行日: | Oct-2009 |
出版者: | American Institute of Physics |
誌名: | Journal of Mathematical Physics |
巻: | 50 |
号: | 10 |
論文番号: | 103501 |
抄録: | We study a monodromy preserving deformation (MPD) of linear differential equations on elliptic curves. As the first of our results, we describe asymptotic behaviors of solutions to the MPD system when the elliptic curve degenerates to a rational curve. As the second, we find explicit solutions for special values of parameters where the MPD system is linearizable. Our solutions are written in terms of integrals of theta functions. We also show that they converge to the hypergeometric functions applying the above asymptotic formula when the elliptic curve degenerates to a rational curve. |
著作権等: | c 2009 American Institute of Physics. |
URI: | http://hdl.handle.net/2433/87414 |
DOI(出版社版): | 10.1063/1.3204973 |
出現コレクション: | 学術雑誌掲載論文等 |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。