无穷限广义积分求值的几种方法

Several Methods for Evaluation for Infinite Generalized Integral

摘要

摘要:无穷限广义积分是微积分学中广义积分的一种类型,利用积分学中的基本方法只能解决少数类型的无穷限广义积分求值的问题.利用概率统计、复变函数与积分变换等学科的知识,来求解一些特殊类型的无穷限广义积分, 具有很大的实用价值.

Abstract:The infinite generalized integral is one type of generalized integral in calculus. The use of integral method can solve just a few basic types of evaluation problems of the infinite generalized integrals. The few methods introduced is of great practical value to solve some special types of infinite generalized integrals by use of knowledge in disciplines like probability statistics, complex function and integral transformation.