Complex Analysis: Functions and Series

The Cauchy-Riemann equations must be satisfied at z0.

It is used to determine the convergence of a power series.

It states that the sum of a power series is continuous at a point of convergence.

<p>The exponential function is closely related to the trigonometric functions, as e^(iz) = cos(z) + i*sin(z).</p> Signup and view all the answers

<p>It provides a multi-valued function that can be used to define other functions, such as the power function and the trigonometric functions.</p> Signup and view all the answers