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3D-mappings by means of monogenic functions and their approximation

✍ Scribed by H. R. Malonek; M. I. Falcão


Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
337 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis


Abstract

We consider quasi‐conformal 3D‐mappings realized by hypercomplex differentiable (monogenic) functions and their polynomial approximation. Main tools are the series development of monogenic functions in terms of hypercomplex variables and the generalization of Kantorovich's approach for approximating conformal mappings by powers of a small parameter. Copyright © 2009 John Wiley & Sons, Ltd.


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