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Cross-references: closed, converges uniformly, radius, limit, diverges, complex, real, converges absolutely, series, number, power series
There are 19 references to this entry.
This is version 10 of radius of convergence, born on 2002-03-19, modified 2008-06-09.
Object id is 2794, canonical name is RadiusOfConvergence.
Accessed 10833 times total.
Classification:
| AMS MSC: | 30B10 (Functions of a complex variable :: Series expansions :: Power series ) | | | 40A30 (Sequences, series, summability :: Convergence and divergence of infinite limiting processes :: Convergence and divergence of series and sequences of functions) |
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Pending Errata and Addenda
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![$ r\in [0,\infty]$](http://images.planetmath.org:8080/cache/objects/2794/l2h/img2.png "$ r\in [0,\infty]$"){kind=small}
![$\displaystyle r=\liminf_{k\to\infty}\frac{1}{\sqrt[k]{\vert a_k\vert}}$](http://images.planetmath.org:8080/cache/objects/2794/l2h/img7.png "$\displaystyle r=\liminf_{k\to\infty}\frac{1}{\sqrt[k]{\vert a_k\vert}}$")
