求解卷积公式的一种新方法

New Method for Computing Convolution Formula

基于数形结合方法以及变量代换方法发现计算卷积公式存在某些不足之处,研究卷积公式的计算方法,给出一种新的确定积分限的方法.该方法直观明了、容易理解和掌握并且可操作性强,有效避免作图和分析图形的繁琐,并举例说明了该应用方法.

Convolution formula plays an important role in many theoretical and technical areas,and the key of convolution computation is how to determine the integral limit.There are some disadvantages in convolution computation using the number shape union or substitution variable.Based on this situation, the method of computing convolution formula is studied and a new method for determining integral limit is presented,which can be easily understood and operated.The most important is that the trouble of drawing and analyzing figures is avoided in the computational process.