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On the growth type of entire monogenic functions |
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| Authors: | D. Constales R. De Almeida R. S. Krausshar |
| Affiliation: | (1) Department of Mathematical Analysis, Ghent University, Building S-22, Galglaan 2, B-9000 Ghent, Belgium;(2) Departamento de Matemática, Universidade de Trás-os-Montes e Alto Douro, P-5000-911 Vila Real, Portugal;(3) Department of Mathematics, Section of Analysis, Katholieke Universiteit Leuven, Celestijnenlaan 200-B, B-3001 Leuven, Belgium |
| Abstract: | In this paper we establish an explicit relation between the growth type of general entire solutions to the generalized Cauchy-Riemann system in mathbbRn+1{mathbb{R}^{n+1}} and their Taylor coefficients. This formula then enables us to compute the growth type of some higher dimensional generalizations of the trigonometric and special functions that are null-solutions to this system. |
| Keywords: | 30G35 30D15 |
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