On Functions with a Conjugate
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Baird, Paul; Eastwood, Michael
Description
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.
Collections | ANU Research Publications |
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Date published: | 2015 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/107111 |
Source: | Annales de l'institut Fourier |
DOI: | 10.5802/aif.2931 |
Access Rights: | Open Access |
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01_Baird_On_Functions_with_a_Conjugate_2015.pdf | 836.52 kB | Adobe PDF |
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