Slice monogenic functions
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- Colombo, F., Sabadini, I. & Struppa, D.C. Isr. J. Math. (2009) 171: 385. doi:10.1007/s11856-009-0055-4
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 , . 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.