A theory of residues for skew rational functions - Archive ouverte HAL
Journal Articles Journal de l'École polytechnique — Mathématiques Year : 2021

A theory of residues for skew rational functions

Abstract

This paper constitutes a first attempt to do analysis with skew polynomials. Precisely, our main objective is to develop a theory of residues for skew rational functions (which are, by definition, the quotients of two skew polynomials). We prove in particular a skew analogue of the residue formula and a skew analogue of the classical formula of change of variables for residues.
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Dates and versions

hal-02268790 , version 1 (21-08-2019)
hal-02268790 , version 2 (16-06-2021)

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Xavier Caruso. A theory of residues for skew rational functions. Journal de l'École polytechnique — Mathématiques, 2021, 8, pp.1159-1192. ⟨10.5802/jep.169⟩. ⟨hal-02268790v2⟩
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