Complex Analysis Method for Evaluating the Partial Derivatives of Two Variables Functions

Abstract

This paper uses the mathematical software Maple for the auxiliary tool to study the partial differential problem of two types of two variables functions. We can obtain the infinite series forms of any order partial derivatives of these two types of functions mainly using complex analysis method and differentiation term by term theorem. In addition, we provide some examples to do calculation practically. The research methods adopted in this study is to find the solutions through manual calculations and verify these solutions using Maple.
Key Words: partial derivatives; infinite series forms; complex analysis method; differentiation term by term theorem; Maple