Analytic continuation gives an equivalence relation between function elements, and the equivalence classes induced by this relation are called global analytic functions.
Global Analytic Continuation
See also
Analytic Continuation, Direct Analytic ContinuationExplore with Wolfram|Alpha
References
Krantz, S. G. The Elements of Advanced Mathematics. Boca Raton, FL: CRC Press, 1995.Krantz, S. G. "Global Analytic Continuation." §10.1.6 in Handbook of Complex Variables. Boston, MA: Birkhäuser, pp. 129-130, 1999.Referenced on Wolfram|Alpha
Global Analytic ContinuationCite this as:
Weisstein, Eric W. "Global Analytic Continuation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GlobalAnalyticContinuation.html