Math 2.0

Functions of a complex variable Concept

Power series in the complex plane

Summary

A power series is a series ∑n≥0an(z−c)n\sum_{n \ge 0} a_n (z - c)^n with complex coefficients ana_n, a center cc and a complex variable zz, see the definition. It converges on a disc, and its sum is holomorphic there.

Where this leads

4 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Power_series, lead section
About this page
Tag0D6KXBHKC0
URIm2://0D6KXBHKC0
Aliasescomplex-power-series, power-series
Kindconcept
WritingW0 stub
MSC30B10
SpecializesPower series

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