analytic continuation

(redirected from Meromorphic continuation)

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 ?
lt; 0], and, using this, proved the meromorphic continuation of [zeta](w, s) to the whole w-plane.
A multiple Dirichlet series is perfect if it satisfies a finite group of functional equations and has meromorphic continuation everywhere.
r] has a meromorphic continuation in s, with simple poles at s = 1, 2,.