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arXiv · 1908.08430

Residues of skew rational functions

Xavier Caruso
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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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Xavier Caruso. 2019-08-22. Residues of skew rational functions. https://arxiv.org/abs/1908.08430

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