Question

How do i prove this:

Answer 1

\[\int\limits_{b}^{c}x.Jp^{2}(cx)dx=\frac{ x² }{ 2 }[Jp^{2}(cx)-Jp-1^{2}(cx).Jp+1^{2}(cx) \]

Answer 2

x from b to c in the rigth part

Answer 3

Jp is the bessel function

Answer 4

@Loser66 @primeralph

Answer 5

Bessel?

Answer 6

yes

Answer 7

I did this a while ago. I'll see if I can find the paper and scan it.

Answer 8

thanks!

Answer 9

You should rewrite the problem more concisely. It's not very clear; your subscripts that is.

Answer 10

ok, i will post a picture

Answer 11

@RaphaelFilgueiras I got to go now. Try tagging some more people. The way I solved it was by differentiating both sides. Playing around with the identities and the sigma will eventually give the answer. Good luck.

Answer 12

i will try it thank you

Answer 13

@experimentX