Suppose and have radii of convergence and respectively. Show that the Cauchy Product converges for .

So . Assume . Put where . Then for large enough. Thus . Thus converges.

Is this correct?

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- February 14th 2009, 09:15 PMmanjohn12Cauchy Product
Suppose and have radii of convergence and respectively. Show that the Cauchy Product converges for .

So . Assume . Put where . Then for large enough. Thus . Thus converges.

Is this correct? - February 15th 2009, 04:55 AMHallsofIvy