complex-analysis
Analytic continuation
taught
Extending an analytic function's domain by chaining overlapping power series along a path, with the identity theorem guaranteeing at most one way to do it along any given route.
Taught in
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Natural boundaries
Complex Analysis
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The identity theorem, revisited
Complex Analysis
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Continuation along a curve
Complex Analysis
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Branch points and why continuation can fail
Complex Analysis
Requires
- identity-theorem-analytic-functions required
- taylor-series-complex-functions required
Required by
- The Gamma function required
Local knowledge map
Local knowledge map
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Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.