Hiow to evaluate

Using the binomial theorem

l is a non negative integer.

I don't know how to proceed. Is there another way?

Thanks.

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- Dec 13th 2011, 04:33 AMhurzintegral binomial differential
Hiow to evaluate

Using the binomial theorem

l is a non negative integer.

I don't know how to proceed. Is there another way?

Thanks. - Dec 14th 2011, 02:50 AMjensRe: integral binomial differential
Move the differential operator into the sum. You'll need to evaluate

which you can easily do by induction. Some terms of the sum may vanish while doing this, I didn't check. Finally, swap the sum and integral. Evaluate the integral. And you should be done.