Discrete Bessel functions B_n^{(N)}(m) are constructed via N-point Fourier restriction on the circle, satisfy exact analogues of continuous relations including Graf's formulas, and approximate J_n(m) closely for n + |m| < N.
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Discrete Bessel functions and transform
Discrete Bessel functions B_n^{(N)}(m) are constructed via N-point Fourier restriction on the circle, satisfy exact analogues of continuous relations including Graf's formulas, and approximate J_n(m) closely for n + |m| < N.