A class of analytic pairs of conjugate functions in dimension three
Differential Geometry
2017-07-04 v1
Abstract
We exploit an ansatz in order to construct power series expansions for pairs of conjugate functions defined on domains of Euclidean --space. Convergence properties of the resulting series are investigated. Entire solutions which are not harmonic are found as well as a -parameter family of examples which contains the Hopf map.
Keywords
Cite
@article{arxiv.1707.00122,
title = {A class of analytic pairs of conjugate functions in dimension three},
author = {Paul Baird and Elsa Ghandour},
journal= {arXiv preprint arXiv:1707.00122},
year = {2017}
}