| Legendre级数逐项求导的若干定理及应用 |
| |
| 引用本文： | 樊学军,严宗达.Legendre级数逐项求导的若干定理及应用[J].太原理工大学学报,1993(2). |
| |
| 作者姓名： | 樊学军 严宗达 |
| |
| 作者单位： | 太原工业大学
(樊学军)，天津大学(严宗达) |
| |
| 摘 要： | 本文给出并推证了Legendre级数(或连带Legendre级数)逐项求导的若干定理。在此基础上,给出了任意张角不封闭厚球壳轴对称问题半解析解的统一形式。研究表明,采用legendre级数,无需加补充项,就可以获得较好的收敛性。
|
| 关 键 词： | Legendre级数 逐项求导 半解析解 |
The Theorems and Application about Term-by-term Differentiation of Legendre Series |
| |
| Fan Xuejun.The Theorems and Application about Term-by-term Differentiation of Legendre Series[J].Journal of Taiyuan University of Technology,1993(2). |
| |
| Authors: | Fan Xuejun |
| |
| Institution: | Fan Xuejun (Taiyuan University ot Technology)
Yan Zongda ( Tianjin University ) |
| |
| Abstract: | In this paper, the theorems about term-by-term differentiation of Legemdre series are deduced.Based on this work, the general semi-analytical solution for the axisymmetric probloms of open thick spherical shells with arbitrary developing angles is given. It is shown the convergence of Legendre series is rapid even if without adding the supplementary terms. |
| |
| Keywords: | Legendre series differentiation semi-analytical solution |
| 本文献已被 CNKI 等数据库收录！ |
