Q-use-the-parseval-relation-of-hankel-transfrom-to-evaluate-the-Integral-0-J-1-ar-J-1-br-r-for-gt-1-2-0-lt-a-lt-b-where-J-n-x

Question Number 186531 by normans last updated on 05/Feb/23

Q . u s e t h e p a r s e v a l r e l a t i o n o f h a n k e l t r a n s f r o m t o e v a l u a t e t h e I n t e g r a l

{\int^{\infty}}_{0} \frac{J_{γ + 1} (a r) J_{γ + 1} (b r)}{r}, f o r γ > - \frac{1}{2}, 0 < a < b

w h e r e J_{n} (x) a r e b e s s e l f u n t i o n s .