“Laurent expansion”的概念、定义、翻译、参考文献-科学参考

单词	Laurent expansion
释义	Laurent expansion Mathematics For a function f(z) which is holomorphic within the annulus centred at a in the complex plane, defined by r₁ < \|z−a\| < r₂ the Laurent expansion is $f (z) = \sum_{k = - \infty}^{\infty} c_{k} {(z - a)}^{k}$ where $c_{k} = \int_{C} \frac{f (w)}{{(w - a)}^{k + 1}} d w$ with the path integral being around C, the positively oriented circle \|z−a\| = r where r₁ < r< r_2. Compare Taylor’s theorem; see isolated singularity.
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