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单词 Analytic continuations
释义

Analytic continuations

中文百科

解析延拓 Analytic continuation

(重定向自Analytic continuations)
自然对数虚部之解析延拓

解析延拓是数学上将解析函数从较小定义域拓展到更大定义域的方法。透过此方法,一些原先发散的级数在新的定义域可具有迥异而有限的值。其中最知名的例子为Γ函数与黎曼ζ函数。

英语百科

Analytic continuation 解析延拓

(重定向自Analytic continuations)
Analytic continuation of natural logarithm (imaginary part)

In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example in a new region where an infinite series representation in terms of which it is initially defined becomes divergent.

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