Slice monogenic functions

被引：0
|
作者：
Fabrizio Colombo
Irene Sabadini
Daniele C. Struppa
机构：
[1] Politecnico di Milano,Dipartimento di Matematica
[2] Chapman University,Department of Mathematics and Computer Sciences
来源：
Israel Journal of Mathematics | 2009年 / 171卷
关键词：
Power Series; Holomorphic Function; Accumulation Point; Regular Function; Clifford Algebra;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we offer a new definition of monogenicity for functions defined on ℝn+1 with values in the Clifford algebra ℝn 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 ℝn. 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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页码：385 / 403
页数：18
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