Complex Analysis Method for Solving Double Integral Problems

Abstract

Abstract:

In this article, the mathematical software Maple is used as an auxiliary tool to study two types of  double integrals. The infinite series formsof these two types of double integrals can be determined by complex analysis method.In addition, two examples of double integrals are proposed and we actually find their infinite series forms. The research method adopted in this paper is to find out the answers by manual calculation, and then uses Maple to verify the answers. This research method not only allows us to find the calculation errors, but also can help us to amend the original thinking direction  because we can verify the correctness of our theory from the consistency of manual and Maple calculations.