Constructing entire functions by quasiconformal folding

By Christopher J. Bishop. 2015

105 citations recorded by the source corpus.

We give a method for constructing transcendental entire functions with good control of both the singular values of f and the geometry of f. Among other applications, we construct a function f with bounded singular set, whose Fatou set contains a wandering domain.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9864eb21771c34eb8cda908fe1ea12a2003ad0bd