摘要
利用Ｌｅｇｅｎｄｒｅ多项式的性质，得到ｅｘｐ（ｘ），ｔａｎｘ和ｔａｎｈｘ简单形式的对角Ｐａｄｅ逼近，在［－１，１］上Ｐｎ（ｘ）对于任意较低次幂的多项式是正交的·在求得某些函数的分母时，利用了Ｇａｕｓ求积公式·
he diagonal Pade'approximats for exp(x),tan x and tanh x are obtained in a simple manner by using the property of Legendre polynomials that on Pn(x) is orthogonal to every polynomial of lower degree. Gauss's quadrature formula is used to fined the denomiators of some functions.
出处
《应用数学和力学》
CSCD
北大核心
1998年第7期619-623,共5页
Applied Mathematics and Mechanics
关键词
正交多项式
PADE逼近
数值逼近
函数逼近
orthogonal polynomials, Pade'approximation, Legendre polynomials, numerical approxiamtion
