{c}

An analytic function is an <entire function> when it is \b[holomorphic on the whole complex plane]. Thus every finite complex point has a neighborhood on which the function is complex differentiable; there is no finite singularity. <polynomials> and the exponential are entire, whereas $1/z$ is not.

Solution

Past exam of the stochastic differential equations and Brownian motion in complex analysis course of the University of Oxford / 2008 / B / 6 / i / Solution

 Solution (source code)