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Q70Section II (Mathematics)70 of 145

L{J0}=1/s2+1L\{J_0\}=1/\sqrt{s^2+1}, so J0∗J0J_0*J_0 has transform 1/(s2+1)1/(s^2+1)

The value of ∫0tJ0(τ)J0(t−τ) dτ\int_0^tJ_0(\tau)J_0(t-\tau)\,d\tau, where J0J_0 is the Bessel function of zero order, is:

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