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

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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