Complex Laplacian and derivatives of bicomplex functions
ME Luna-Elizarraras, M Shapiro, DC Struppa… - Complex Analysis and …, 2013 - Springer
Complex Analysis and Operator Theory, 2013•Springer
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.
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.
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.
Springer
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