analytic continuation

analytic continuation

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.

Origin:
1955–60
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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Analytic continuation is always a great word to know.
So is mean value. Does it mean:
one of several highly systematic methods of treating problems by a special system of algebraic notations, such as differential or integral calculus
the ratio of the integral of a given function over a closed interval to the length of the interval
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