Direct Analytic Continuation
If (f,U) and (g,V) are functions elements, then (g,V) is a direct analytic continuation of (f,U) if U intersection V!=emptyset and f and g are equal on U intersection V.
See also
Analytic Continuation, Global Analytic ContinuationExplore with Wolfram|Alpha
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References
Krantz, S. G. "Direct Analytic Continuation." §10.1.4 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 128, 1999.Referenced on Wolfram|Alpha
Direct Analytic ContinuationCite this as:
Weisstein, Eric W. "Direct Analytic Continuation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DirectAnalyticContinuation.html