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Article Dans Une Revue Advances in Geometry Année : 2019

A class of analytic pairs of conjugate functions in dimension three

Résumé

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.

Dates et versions

hal-03233957 , version 1 (25-05-2021)

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Citer

Paul Baird, Elsa Ghandour. A class of analytic pairs of conjugate functions in dimension three. Advances in Geometry, 2019, 19 (3), pp.421-432. ⟨10.1515/advgeom-2018-0034⟩. ⟨hal-03233957⟩
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