Computing $h$-functions of Some Planar Simply Connected Two-dimensional Regions
Computing $h$-functions of Some Planar Simply Connected Two-dimensional Regions
The $h$-function $h(r)$ represents the probability that a Brownian traveller released from a fixed point $z_{0}$ in a region $\Omega$, first exits the region $\Omega$ somewhere within distance $r$ of $z_{0}$. We compute the $h$-functions of some planar simply connected regions, and investigate the asymptotics of these $h$-functions at certain …