analytic continuation

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analytic continuation

[‚an·əl′id·ik kən·tin·yü′ā·shən]
(mathematics)
The process of extending an analytic function to a domain larger than the one on which it was originally defined.
References in periodicals archive ?
This requires the associated multiplicative function, say f(n), to have special enough properties that the associated Dirichlet series may be analytically continued.