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3D deformations by means of monogenic functions
Author(s) -
Morais J.,
Ferreira M.
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2625
Subject(s) - mathematics , fourier series , euclidean space , ball (mathematics) , euclidean geometry , set (abstract data type) , pure mathematics , mathematical analysis , algorithm , geometry , computer science , programming language
In this paper, the authors compute the coefficient of quasiconformality for monogenic functions in an arbitrary ball of the Euclidean spaceR 3 . This quantification may be needed in applications but also appears to be of intrinsic interest. The main tool used is a 3D Fourier series development of monogenic functions in terms of a special set of solid spherical monogenics. Ultimately, we present some examples showing the applicability of our approach. Copyright © 2012 John Wiley & Sons, Ltd.