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Journal articles
A class of analytic pairs of conjugate functions in dimension three
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 arc investigated. Entire solutions which are not harmonic are found as well as a 2-parameter family of examples which contains the Hopf map.
https://hal-uphf.archives-ouvertes.fr/hal-03233957
Contributor : Frédéric Pruvost Connect in order to contact the contributor
Submitted on : Tuesday, May 25, 2021 - 10:48:19 AM
Last modification on : Sunday, June 26, 2022 - 3:08:43 AM
Contributor : Frédéric Pruvost Connect in order to contact the contributor
Submitted on : Tuesday, May 25, 2021 - 10:48:19 AM
Last modification on : Sunday, June 26, 2022 - 3:08:43 AM
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