Date: 05 Jun 2012

Holomorphy in Multicomplex Spaces

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Abstract

In this paper we extend our research on bicomplex holomorphy and on the existence of bicomplex differential operators to the nested space of multicomplex numbers.S pecifically, we will discuss the different sets of idempotent representations for multicomplex numbers and we will use them to develop a theory of holomorphic and multicomplex analytic functions.

Mathematics Subject Classification (2000). Primary 30G35; Secondary 16E05, 13P10, 35N05.