analytic continuation

noun2

1. •
   The practice of extending analytic functions.

   • The standard method of analytic continuation starts with a function f(z) defined by its power-series expansion (7.5-4) inside some circle |z-a|=r. — 1968
2. •
   An extension of an analytic function which is itself analytic.

   • The set of all the analytic continuations of the given element f(z) is called the complete analytic function. — 1995