| Confluence of apparent singularities in multi-indexed orthogonal polynomials: the Jacobi case | |
|---|---|
| 學年 | 101 |
| 學期 | 2 |
| 出版（發表）日期 | 2013-03-04 |
| 作品名稱 | Confluence of apparent singularities in multi-indexed orthogonal polynomials: the Jacobi case |
| 作品名稱（其他語言） | |
| 著者 | Ho, C.-L.; Sasaki, R.; Takemura, K. |
| 單位 | 淡江大學物理學系 |
| 出版者 | Bristol: Institute of Physics Publishing Ltd. |
| 著錄名稱、卷期、頁數 | Journal of Physics A: Mathematical and Theoretical 46(11), 115205(27pages) |
| 摘要 | The multi-indexed Jacobi polynomials are the main part of the eigenfunctions of exactly solvable quantum mechanical systems obtained by certain deformations of the P¨oschl-Teller potential (Odake-Sasaki). By fine-tuning the parameter(s) of the P¨oschlTeller potential, we obtain several families of explicit and global solutions of certain second order Fuchsian differential equations with an apparent singularity of characteristic exponent −2 and −1. They form orthogonal polynomials over x ∈ (−1,1) with
 weight functions of the form (1 − x)α(1 + x)β/{(ax + b)4q(x)2}, in which q(x) is a polynomial in x. |
| 關鍵字 | |
| 語言 | en |
| ISSN | 1751-8113 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | Ho, C.-L. |
| 審稿制度 | 是 |
| 國別 | GBR |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/83756 ) |
GoogleAnalytics