| 摘要: |
| 利用连带Legendre微分方程在x=1附近的两个基本解，通过构造相似核函数，得到解的相似结构，由此得出解决这类边值问题的一种简洁方法——相似构造法；该方法大大简化了运算步骤，并且能更直观地观察出解的内在规律. |
| 关键词: 边值问题 连带Legendre方程 相似结构 相似核函数 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Similar Structure of the Solution to Boundary Value Problem of Associated Legendre Differential Equation |
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LUO Mei， LI Shun chu
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| Abstract: |
| Based on two basic solutions of associated Legendre differential equation at the neighborhood of x=1， by constructing similar kernel function， the similar structure of the solution is obtained， as a result， a simple method for solving the class of boundary value problem， similar constructive method， is presented.This method largely simplifies the operation steps and can better intuitively find the inherent law of the solution. |
| Key words: boundary value problem associated Legendre equation similar structure similar kernel function |
