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arXiv · 1409.8455

Noncommutative Cauchy integral formula

Riccardo Ghiloni·Alessandro Perotti·Vincenzo Recupero
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Abstract

The aim of this paper is to provide and prove the most general Cauchy integral formula for slice regular functions and for C^1 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.

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Riccardo Ghiloni, Alessandro Perotti, Vincenzo Recupero. 2014-09-30. Noncommutative Cauchy integral formula. https://arxiv.org/abs/1409.8455

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