| 常点与正则奇点邻域上勒让德方程解之比较 |
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| 引用本文： | 王典顺,李之杰.常点与正则奇点邻域上勒让德方程解之比较[J].内蒙古民族大学学报(自然科学版),2009,24(5):487-489. |
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| 作者姓名： | 王典顺 李之杰 |
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| 作者单位： | 1. 吉林农业工程职业技术学院,吉林,四平,136001
2. 内蒙古民族大学,物理与电子信息学院,内蒙古,通辽,028043 |
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| 摘 要： | 应用级数解法和数值计算分析比较了勒让德方程在常点z0=0，和正则奇点z0=1，的有限解，恰当的选择多项式系数，得到了奇点邻域上的有限解与常点邻域上有限解在共同收敛的区域上的相同结果．
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| 关 键 词： | 勒让德方程 正则奇点 多项式系数 |
Comparing Solutions of Legendre Equation on the Vicinity of Ordinary and Regular Singular Poin |
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| WANG Dian-shun,LI Zhi-jie.Comparing Solutions of Legendre Equation on the Vicinity of Ordinary and Regular Singular Poin[J].Journal of Inner Mongolia University for the Nationalities(Natural Sciences),2009,24(5):487-489. |
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| Authors: | WANG Dian-shun LI Zhi-jie |
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| Institution: | WANG Dian-shun, LI Zhi-jie ( 1.Cllege of Jilin Agricultural Engineering and Vocational Technical,Siping 136001,China; 2.College of Physics and Electronics Information, Inner MongoliaUniversity for Nationalities , Tongliao 028043, China ) |
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| Abstract: | Using series method and numerical analysis, the article compared the numbered solution of Legendre equation at the point z0=0 and zo= 1, and chose the proper coefficient of polynomials. Finally, we get the same result about the numbered solution of the vicinity of ordinary and regular singular point in the same convergence domain. |
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| Keywords: | Legendre equation Regular singular point Coefficient of polynomials |
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