complex-analysis
Convergence of complex power series
taught
Radius of convergence for a series in z, and why the region of convergence is a disk in the plane rather than an interval on a line.
Taught in
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Convergence of complex sequences and series
Complex Analysis
Requires
- complex-limits required
-
radius-and-interval-of-convergence
helpful
Same ratio-test machinery as the real power series case, generalized from an interval to a disk.
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ratio-test
helpful
The standard tool for finding the radius of convergence, unchanged from the real-variable setting.
Required by
- Laurent series required
- Taylor series of complex functions required
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Local knowledge map
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