, Volume 7, Issue 5, pp 1675-1711
Date: 16 Mar 2013

Complex Laplacian and Derivatives of Bicomplex Functions

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Abstract

In this paper we study in detail the theory of bicomplex holomorphy, in the context of the several ways in which bicomplex numbers can be considered. In particular we will show how the notions of bicomplex derivability and bicomplex holomorphy can be interpreted in these different ways, and the consequences that can be derived.