Using (J_{o}) for a series expansion, show that the coefficients of the Fourier-Bessel series for (f(x)=1) over

Question:

Using $J_{o}$ for a series expansion, show that the coefficients of the Fourier-Bessel series for $f(x)=1$ over the interval $0 \leq x \leq 1$ are given as $a_{m}=2 /\left\{\alpha_{m 0} J_{1}\left(\alpha_{m 0}ight)ight\}$, where $\alpha_{m 0}$ are the zeros of $J_{0}$.

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