analytic continuation
Americannoun
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a method of finding a function that coincides with a given analytic function in a domain and that remains analytic in a larger domain.
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any function found by this method.
Etymology
Origin of analytic continuation
First recorded in 1955–60
Example Sentences
Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.
The Riemann zeta function is the analytic continuation of this function to the whole complex plane minus the point s=1.
From Scientific American ● Jan. 20, 2014
The function is called the analytic continuation of .
From Scientific American ● Jan. 20, 2014
We can say 1+2+3…=-1/12 by retrofitting the analytic continuation of a function to its original infinite series definition, a move that should come with a Lucille Bluth-style wink.
From Scientific American ● Jan. 20, 2014
Analytic continuation Lucille says, "I'm going to stick an equals sign between the value of the analytic continuation of a function at a point and the infinite series that defines the function elsewhere."
From Scientific American ● Jan. 20, 2014
One way to tackle the problem is with the idea of analytic continuation in complex analysis.
From Scientific American ● Jan. 20, 2014
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