Ebook Complex Analysis

In this section we will deﬁne what we mean by a complex function. We will then generalise the deﬁnitions of the exponential, sine and cosine functions using complex power series. To deal with complex power series we deﬁne the notions of convergent and absolutely convergent and see how to use the ratio test from real analysis to determine convergence and radius of convergence for these complex series. We start by deﬁning domains in the complex plane.

Từ khóa: Complex functions, Imaginary parts of functions, Complex Series, Complex plane, Determine convergence