Slice monogenic functions |
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| Authors: | Fabrizio Colombo Irene Sabadini Daniele C Struppa |
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| Institution: | (1) Dipartimento di Matematica, Politecnico di Milano, Via Bonardi, 9, 20133 Milano, Italy;(2) Department of Mathematics and Computer Sciences, Chapman University, Orange, CA 92866, USA |
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| Abstract: | In this paper we offer a new definition of monogenicity for functions defined on ℝ
n+1 with values in the Clifford algebra ℝ
n
following an idea inspired by the recent papers 6], 7]. This new class of monogenic functions contains the polynomials
(and, more in general, power series) with coefficients in the Clifford algebra ℝ
n
. We will prove a Cauchy integral formula as well as some of its consequences. Finally, we deal with the zeroes of some polynomials
and power series. |
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| Keywords: | |
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