La formule de Cauchy dans les alg\`ebres

TL;DR

This paper explores generalizations of the classical Cauchy formula within broader algebraic structures beyond complex numbers, aiming to extend fundamental complex analysis results.

Contribution

It introduces new versions of the Cauchy formula applicable to a wider class of algebras, expanding the scope of complex analysis techniques.

Findings

Generalized Cauchy formulas derived for various algebraic systems

Extended the applicability of complex analysis tools to non-complex algebras

Potential new methods for analysis in algebraic structures

Abstract

We Study versions of Cauchy formula in more general algebras than the complex case.