∫ 0 ∞ t ν + 1 ⁢ J ν ⁡ ( a ⁢ t ) ( t 2 + b 2 ) μ + 1 d ⁣ t = a μ ⁢ b ν − μ 2 μ ⁢ Γ ⁢ ( μ + 1 ) ⁢ K ν − μ ⁡ ( a ⁢ b ) \int _{0}^{\infty }{\frac {t^{\nu +1}J_{\nu }\left(at\right)}{(t^{2}+b^{2})^{\mu +1}}}\mathrm {d} t={\frac {a^{\mu }b^{\nu -\mu }}{2^{\mu }\Gamma \left(\mu +1\right)}}K_{\nu -\mu }\left(ab\right)