2014/09/30 by Riccardo Ghiloni, Ghiloni, Riccardo, Alessandro Perotti +3
Mathematics · #17D05 #30C15 #30G35 #32A30 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:17D05 #msc:30C15 #msc:30G35 #msc:32A30
paper · pdf · doi:10.48550/arxiv.1409.8455
13 pages, an example has been added at the end of Section 4. To appear in "Complex Analysis and Operator Theory"
arxiv created 2016/02/11 · arxiv updated 2016/02/12
The aim of this paper is to provide and prove the most general Cauchy integral formula for slice regular functions and for C1 functions on a real alternative *-algebra. Slice regular functions represent a generalization of the classical concept of holomorphic function of a complex variable in the noncommutative and nonassociative settings. As an application, we obtain two kinds of local series expansion for slice regular functions.