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A new theory of regular functions of a quaternionic variable |
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| Authors: | Graziano Gentili Daniele C Struppa |
| Institution: | a Dipartimento di Matematica “U. Dini”, Università di Firenze, Viale Morgagni, 67 A, Firenze, Italy b Department of Mathematics and Computer Science, Chapman University, Orange, CA 92866, USA |
| Abstract: | In this paper 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. |
| Keywords: | Functions of hypercomplex variables Functions of complex variables Quaternions |
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