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general sums
#6
Hi, I discovered it myself Smile

To derive it, use the rule that the multiplication of two power series is the discrete convolution of their coefficients and that .

Now try to multiply a formal power series with .

Repeat it k times and use the formula of to derive the formula.

It however reminds Cauchy's formula for repeated integration (with all umbral calculus variations).
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Messages In This Thread
general sums - by tommy1729 - 06/22/2010, 10:29 PM
RE: general sums - by mike3 - 06/23/2010, 01:16 AM
RE: general sums - by tommy1729 - 06/23/2010, 04:26 PM
RE: general sums - by kobi_78 - 06/24/2010, 06:53 PM
RE: general sums - by tommy1729 - 06/24/2010, 07:45 PM
RE: general sums - by kobi_78 - 06/24/2010, 07:56 PM

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