A c1 class refers to a function that is continuously differentiable, meaning that both the function itself and its first derivative are continuous. This property is crucial in complex analysis as it ensures that the function behaves nicely, allowing for the application of important results such as the Cauchy-Riemann equations, which are essential for establishing a function's differentiability in the complex plane.
congrats on reading the definition of c1 class. now let's actually learn it.