A new theory of regular functions of a quaternionic variable. (English) Zbl 1124.30015
Summary: We develop the fundamental elements and results of a new theory of regular functions of one quaternionic variable. The theory we describe follows a classical idea of Cullen, but we use a more geometric formulation to show that it is possible to build a rather complete theory. Our theory allows us to extend some important results for polynomials in the quaternionic variable to the case of power series.
MSC:
| 30G35 | Functions of hypercomplex variables and generalized variables |
References:
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