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

作者：Malonek H R^*; Falcao M I

来源：Mathematical Methods in the Applied Sciences, 2010, 33(4): 423-430.

DOI：10.1002/mma.1211

• Clifford analysis
• monogenic functions
• 3D-mappings

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.

• 出版日期2010-3-15