On mapping properties of monogenic functions
-
K. Gürlebeck
guerlebe@fossi.uni-weimar.de
-
J. Morais
jmorais@mat.ua.pt
Downloads
Abstract
Main goal of this paper is to study the description of monogenic functions by their geometric mapping properties. At first monogenic functions are studied as general quasi-conformal mappings. Moreover, dilatations and distortions of these mappings are estimated in terms of the hypercomplex derivative. Then pointwise estimates from below and from above are given by using a generalized Bohr‘s theorem and a Borel-Carathéodory theorem for monogenic functions. Finally it will be shown that mono- genic functions can be defined as mappings which map infinitesimal balls to special ellipsoids.
Keywords
Most read articles by the same author(s)
- S. Georgiev, J. Morais, W. Spross, New Aspects on Elementary Functions in the Context of Quaternionic Analysis , CUBO, A Mathematical Journal: Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal
Similar Articles
- B. C. Das, Soumen De, B. N. Mandal, Wave propagation through a gap in a thin vertical wall in deep water , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
- Silvestru Sever Dragomir, Bounds for the generalized \( (\Phi;f) \)-mean difference , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- T.M.M. Sow, A new iterative method based on the modified proximal-point algorithm for finding a common null point of an infinite family of accretive operators in Banach spaces , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- A. Kamal, T.I. Yassen, D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- Abdi Oli, Kelelaw Tilahun, G. V. Reddy, The Multivariable Aleph-function involving the Generalized Mellin-Barnes Contour Integrals , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Luciano Souza, Wilson Rosa de O. Júnior, Cícero Carlos R. de Brito, Christophe Chesneau, Renan L. Fernandes, Tiago A. E. Ferreira, Tan-G class of trigonometric distributions and its applications , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- David Békollè, Khalil Ezzinbi, Samir Fatajou, Duplex Elvis Houpa Danga, Fritz Mbounja Béssémè, Convolutions in \((\mu,\nu)\)-pseudo-almost periodic and \((\mu,\nu)\)-pseudo-almost automorphic function spaces and applications to solve integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Adara M. Blaga, Manoj Ray Bakshi, Kanak Kanti Baishya, Hyper generalized pseudo \(Q\)-symmetric semi-Riemannian manifolds , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Ioannis K. Argyros, Santhosh George, Extended domain for fifth convergence order schemes , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Chia-chi Tung, Pier Domenico Lamberti, On Rellich‘s Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
<< < 15 16 17 18 19 20 21 22 23 24 25 26 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2009-03-01
How to Cite
[1]
K. Gürlebeck and J. Morais, “On mapping properties of monogenic functions”, CUBO, vol. 11, no. 1, pp. 73–100, Mar. 2009.
Issue
Section
Articles
