Morais, JoãoFerreira, Milton2019-02-062019-02-062013-04Ferreira M., and Morais J., 3D deformations by means of monogenic functions, Math. Meth. Appl. Sci., 36(7) (2013), 780-7930170-42141099-1476http://hdl.handle.net/10400.8/3807In this paper, the authors compute the coefficient of quasiconformality for monogenic functions in an arbitrary ball of the Euclidean space $\mathbb{R}^3$. This quantification may be needed in applications but also appear 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.engQuaternion analysisRiesz systemMonogenic functionsQuasiconformal mappingsjournal article10.1002/mma.2625