noun
analytic continuation
Technical term in complex analysis; refers to extending the domain of an analytic function beyond its original region of definition.
リーマンゼータ関数は解析接続によって複素平面全体に拡張される。
The Riemann zeta function is extended to the entire complex plane by analytic continuation.
Compound of 解析 (analysis) and 接続 (connection), calque of English 'analytic continuation'.