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 2016-08-15, 10:01 #1 wildrabbitt   Jul 2014 1C216 Posts 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.
2016-08-15, 14:08   #2
xilman
Bamboozled!

"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across

2CA516 Posts

Quote:
 Originally Posted by wildrabbitt 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.

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

 2016-08-15, 16:18 #3 wildrabbitt   Jul 2014 2×32×52 Posts Okay, thanks.
 2016-08-16, 08:38 #4 Nick     Dec 2012 The Netherlands 5×353 Posts 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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