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Square root of an infinite series?

13th Skull · 2012-11-04 17:01:50

How can you take the square root of an infinite series and express it as another series?

04-11-2012 5:01pm

#1

13th Skull

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How can you take the square root of an infinite series and express it as another series?

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#2 05-11-2012 8:34am

MathsManiac

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Not something I've thought about before, but perhaps you could come at it using the Cauchy product: http://en.wikipedia.org/wiki/Cauchy_product

The only meaningful way to interpret the problem is, I think, that you're looking for a series such that the Cauchy product of it with itself gives the terms of the series you're trying to find the "square root" of.

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