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On Functions with a Conjugate

Baird, Paul; Eastwood, Michael


Harmonic functions of two variables are exactly those that admit a conjugate, namely a function whose gradient has the same length and is everywhere orthogonal to the gradient of the original function. We show that there are also partial differential equations controlling the functions of three variables that admit a conjugate.

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
Source: Annales de l'institut Fourier
DOI: 10.5802/aif.2931
Access Rights: Open Access


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