**Dominic Rochon**

**June, 2000**

We use a commutative generalization of complex numbers called bicomplex numbers to show that the subclass of holomorphic mappings of satisfying the complexified Cauchy-Riemann equations has a Bloch constant in . Moreover, we find estimates when the mappings are on the unit ball and we give a specific domain of where the Bloch constant has the same value as the classical Bloch constant for one variable.

- Introduction
- Preliminaries
- Bloch constant for -holomorphic mappings
- -holomorphy and quasiregularity
- Final remarks
- Bibliographie
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