Mathematica在以勒让德函数为基的广义Fourier级数展开中的应用

本文从广义Fourier级数展开教学着手研究,借助Mathematica的功能来实现以勒让德函数为基的广义Fourier级数的展开。将Mathematica应用于数学物理方法特殊函数以及广义傅里叶级数的教学中,可以使教学更加形象、生动,从而取得更加良好的教学效果。

In this paper, we investigate how to apply Mathematica to expand of the generalized Fourier seriesbased on Legendre＇s function. Mathematica can be of tremendous help in treating such problems and exhibiting theirsolutions graphically.The use of Mathematica can enhance the understanding of the generalized Fourier series.