The index of singular zeros of harmonic mappings of anti-analytic degree one
The index of singular zeros of harmonic mappings of anti-analytic degree one
We study harmonic mappings of the form $f(z) = h(z) - \overline{z}$, where $h$ is an analytic function. In particular we are interested in the index (a generalized multiplicity) of the zeros of such functions. Outside the critical set of $f$, where the Jacobian of $f$ is non-vanishing, it is …