analytic continuation

American  

noun

Mathematics.

1. a method of finding a function that coincides with a given analytic function in a domain and that remains analytic in a larger domain.

2. any function found by this method.

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Etymology

Origin of analytic continuation

First recorded in 1955–60

Example Sentences

One way to tackle the problem is with the idea of analytic continuation in complex analysis.

From Scientific American

The function is called the analytic continuation of .

From Scientific American

Analytic continuation is useful because complex functions are often defined as infinite series involving the variable z.

From Scientific American

The analytic continuation of a function can define values for a function outside of the area where its infinite series definition converges.

From Scientific American

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