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Old 2016-08-15, 10:01   #1
wildrabbitt
 
Jul 2014

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Default radius of convergence of a complex power series

Hello,


can anyone tell me how to work out the

radius of convergence of a power series of a complex variable ?

I'd like to understand the conditions under which the radius is 0, finite and infinite.

Where should I look for an easy to understand discourse on this.
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Old 2016-08-15, 14:08   #2
xilman
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"๐’‰บ๐’ŒŒ๐’‡ท๐’†ท๐’€ญ"
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Quote:
Originally Posted by wildrabbitt View Post
Hello,


can anyone tell me how to work out the

radius of convergence of a power series of a complex variable ?

I'd like to understand the conditions under which the radius is 0, finite and infinite.

Where should I look for an easy to understand discourse on this.
https://en.wikipedia.org/wiki/Radius_of_convergence

Took me 30 seconds with a search engine. I suggest that you apply that algorithm in future instead of expecting the rest of us to do your work for you.

Last fiddled with by xilman on 2016-08-15 at 14:11
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Old 2016-08-15, 16:18   #3
wildrabbitt
 
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Okay, thanks.
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Old 2016-08-16, 08:38   #4
Nick
 
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Different books on complex analysis suit different people.
Two good options (in my opinion) are:

"Complex Analysis" by Ian Stewart & David Tall, published in 1983 by Cambridge University Press:
http://www.cambridge.org/nl/academic...ysis?format=PB

"Introduction to Complex Analysis" 2nd edition by H. A. Priestley, published in 2003 by Oxford University Press:
https://global.oup.com/academic/prod...&lang=en&cc=nl
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