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.
翻译:本文是首次尝试用 skew 多面体进行分析。 确切地说, 我们的主要目标是为 skew 理性功能( 按定义,这是两个 skew 多面体的商数 ) 开发一个残留物理论。 我们特别证明了一个残留物公式的扭曲类比和一个残留物变量变化的经典公式的扭曲类比。