Premium
3D‐mappings by means of monogenic functions and their approximation
Author(s) -
Malonek H. R.,
Falcão M. I.
Publication year - 2009
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.1211
Subject(s) - mathematics , conformal map , hypercomplex number , differentiable function , generalization , polynomial , pure mathematics , series (stratigraphy) , algebra over a field , mathematical analysis , geometry , paleontology , biology , quaternion
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.