\[\int_{0}^{\infty}J_{\mu+2n+1}\left(at\right)J_{\mu}\left(bt\right)\,\mathrm{d}%
t=\begin{cases}\dfrac{b^{\mu}\Gamma\left(\mu+n+1\right)}{a^{\mu+1}n!}\mathbf{F%
}\left(-n,\mu+n+1;\mu+1;\dfrac{b^{2}}{a^{2}}\right),&0<b<a,\\
(-1)^{n}/(2a),&b=a(>0),\\
0,&0<a<b.\end{cases}\]