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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 Continuation

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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 Continuation

Cite this as:

Weisstein, Eric W. "Direct Analytic Continuation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DirectAnalyticContinuation.html

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