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 ?
Recently, Mehta et al., in [9] obtained the meromorphic continuation of multiple zeta functions by means of an elementary and simple translation formula for this multiple zeta function.
The aim of this paper is to obtain a meromorphic continuation of [Z.sub.12](s, [chi]) to the whole complex plane.
A multiple Dirichlet series is perfect if it satisfies a finite group of functional equations and has meromorphic continuation everywhere.
In this paper we showed that the r-ple L-function [L.sub.r](s, [chi]|[w.sub.1],..., [w.sub.r]) has a meromorphic continuation in s [member of] C with simple poles at s = 1, 2,..., r.
for [member of] R \ [Z.sub.< 0], and, using this, proved the meromorphic continuation of [zeta](w, s) to the whole w-plane.