含参变量富里叶级数的Laplace变换求和法  

Summation of Fourier Series with Parameter by Laplace Transforms

作　　者：卜小明[1] 

机构地区：[1]天津大学

出　　处：《应用数学和力学》1993年第9期815-822,共8页Applied Mathematics and Mechanics

摘　　要：本文建立了含参变量富里叶级数的Laplace变换求和定理.利用Laplace变换表可以求得许多在力学上有重要应用的新的含参变量富里叶级数的和式.In this paper, the theorems concerning the summation of Fourier series with parameter are giv:m by using Lnplare Transforms. By means of the known result of Laplace Transforms, many new, important problems of summation of Fourier series with parameter in mechanics can be solved.

关 键 词：傅里叶级数 拉普拉斯变换 求和法 

分 类 号：O174.21[理学—数学]