Residue - Ryuusuu (English spelling) residue
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A regular function f that has an isolated singular point at point a can be expanded by Laurent expansion, and the coefficient c -1 is called the residue of f at a , and is represented by the following symbol. If a is the k- th pole, then the following holds. A residue is something that does not become 0 and is the name given by A. Cauchy. This can be easily understood by looking at the residue theorem. [Oikawa Kotaro] Source: Heibonsha World Encyclopedia, 2nd Edition Information |
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点aで孤立特異点をもつ正則関数fはローラン展開，をすることができるが，係数c－1のことをfのaにおける留数といい，次の記号で表す。もしaがk位の極ならば，が成り立つ。 留数とは，0にならずに残ったものという意味で，A.コーシーの命名である。このことは留数定理をみるとよくわかる。【及川 広太郎】
出典 株式会社平凡社世界大百科事典 第２版について 情報 |
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