| 母函数的作用 |
| |
| 引用本文： | 沈燮昌,顾筱英.母函数的作用[J].曲阜师范大学学报,1988(2). |
| |
| 作者姓名： | 沈燮昌 顾筱英 |
| |
| 作者单位： | 北京大学，武汉地院北京研究生院 |
| |
| 摘 要： | Ⅲ legendre 多项式考虑函数显然,对于任意的x,|x|≤R<+∞,当z充分小时(3.1)中的分母不为零,因此在z=0的邻域中可以取出根式的一个单项解析分支,这个分支在z=0处的值为1.因此有
|
The Role of Generating Funcfions |
| |
| Shen Xiechang Peking Vniversity Gu Xiaoying Gradnate school of Chinese Geological Vniversity.The Role of Generating Funcfions[J].Journal of Qufu Normal University(Natural Science),1988(2). |
| |
| Authors: | Shen Xiechang Peking Vniversity Gu Xiaoying Gradnate school of Chinese Geological Vniversity |
| |
| Institution: | Shen Xiechang Peking Vniversity Gu Xiaoying Gradnate school of Chinese Geological Vniversity |
| |
| Abstract: | In this paper based on the generating funtions Some important properties of Hermite polynomials, Lagnerre polynomials, Legendre polgnomials, Jacobi polynomials and Faber polynomials, such as integral representations, explicit expressions, difference eguations and differential ueuations of oecondorder which they ratisfy, orthogonalities, asymptotical expansions are introduced. |
| |
| Keywords: | generating function polyromials difference of 2-th order differential equation orthogonality asymptotic expansion |
| 本文献已被 CNKI 等数据库收录！ |
|
