3D deformations by means of monogenic functions | Zendy

Morais J. | Zendy; Ferreira M. | Zendy

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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.

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