The question:
Show that for all nonnegative integers m and n.
My attempt:
Using integration by parts:
=
=
=
I think that's right to far. I'm not sure what to do from here. Any assistance would be most appreciated!
I have a different method, but I don't know if it will help you.
Here we go
The convolution of two functions is defined to be
using this
now sub
Now taking the Laplace transform of both sides gives
Now solving for the integral gives
In...
Beta Function -- from Wolfram MathWorld
... You can verify that...
(1)
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