摘要
对于广义积分integral from n=0 to ∞ dm/dx^m(1/1+x^2)d^n/dx^n(1/1+x^2)dx和integral from n=0 to ∞ d^m/dx^m(sin x/x)d^n/dx^n(sin x/x)dx(m,n为非负整数),采用Fourier变换及级数计算出它们的值,并指出在区间(-∞,+∞)上可积的函数f(x),亦可仿此计算广义积分integral from n=0 to ∞ f^(m)(x)f^(n)(x)dx.
For ∫0^∞d^m/dx^m（1/1＋x^2）d^n/dx^n（1/1＋x^2） and ∫0^∞d^m/dx^m（sin x/x）d^n/dx^n（sinx/x）dx,the author gives their values by using Fourier transform and series,and the method is fit to integralable functions in interval （-∞,＋∞）.
出处
《黔东南民族师范高等专科学校学报》
2006年第3期1-2,共2页
Journal of Southeast Guizhou National Teachers College
