Slice monogenic functions
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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.
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- F. Colombo, I. Sabadini, F. Sommen and D. C. Struppa, Analysis of Dirac Systems and Computational Algebra, Progress in Mathematical Physics, Vol. 39, Birkhäuser, Boston, 2004.Google Scholar