A class of analytic pairs of conjugate functions in dimension three
classification
🧮 math.DG
keywords
conjugatefunctionspairsseriesanalyticansatzclassconstruct
read the original abstract
We exploit an ansatz in order to construct power series expansions for pairs of conjugate functions defined on domains of Euclidean $3$--space. Convergence properties of the resulting series are investigated. Entire solutions which are not harmonic are found as well as a $2$-parameter family of examples which contains the Hopf map.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.