| Zeros of the exceptional Laguerre and Jacobi polynomials | |
|---|---|
| 學年 | 100 |
| 學期 | 2 |
| 出版（發表）日期 | 2012-07-04 |
| 作品名稱 | Zeros of the exceptional Laguerre and Jacobi polynomials |
| 作品名稱（其他語言） | |
| 著者 | Ho, Choon-Lin; Ryu Sasaki |
| 單位 | 淡江大學物理學系 |
| 出版者 | New York: International Scholarly Research Network (I S R N) |
| 著錄名稱、卷期、頁數 | ISRN Mathematical Physics 2012(2012), 920475(27pages) |
| 摘要 | An interesting discovery in the last two years in the field of mathematical physics has been the exceptional Xℓ Laguerre and Jacobi polynomials. Unlike the well-known classical orthogonal polynomials which start with constant terms, these new polynomials have the lowest degree ℓ = 1,2, . . ., and yet they form complete sets with respect to some positive-definite measure. In this paper, we study one important aspect of these new polynomials, namely, the behaviors of their zeros as some parameters of the Hamiltonians change. |
| 關鍵字 | Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Classical Analysis and ODEs (math.CA); Exactly Solvable and Integrable Systems (nlin.SI); Quantum Physics (quant-ph) |
| 語言 | en_US |
| ISSN | 2090-4681 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/83481 ) |
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