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

单词	asymptotic expansion
释义	asymptotic expansion Computer A series $A_{0} + A_{1} / z + A_{2} / z^{2} + \dots + A_{n} / z^{n} + \dots,$ that may either converge for large values of \|z\| or diverge for all values of z, is called an asymptotic expansion of the function F(z), valid in a given range of values of arg z, if, for every fixed value of n, the expression $z^{n} (F (z) - A_{0} - A_{1} / z - A_{2} / z^{2} - \dots - A_{n} / z^{n})$ tends to zero as \| z\| → ∞, while arg z remains in the given range.
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