# Integral over spherical Bessel function

1. Oct 21, 2012

### hmhm696

Is there somebody who can help me how to solve this integral

$$\int_{0}^{+\infty} dr r^{^{n+1}} e^{-\alpha r} j_l(kr)$$

Last edited: Oct 21, 2012
2. Oct 21, 2012

### dextercioby

I have a saying for this type of questions. If it's not in one of the Gradshteyn-Rytzhik editions of their famous book, then it must be discovered. :)

3. Oct 21, 2012

### Dickfore

This is the answer Mathematica gives:

4. Oct 21, 2012

### dextercioby

5. Oct 21, 2012

### hmhm696

Thanks guys.
I think that given formula has error in the part where it derivative by alpha instead of betha.
For me is important a process, how i can get it.