A bilinear quadrature rule for the finite hankel transform

The finite Hankel transform of order zero is evaluated by means of a bilinear quadrature formula. By imposing conditions on the bilinear weight matrix, it is guaranteed that the finite Hankel transform is correct for the class of Fourier- Bessel functions and given interpolation points in the range of the Hankel transform. The algorithm only requires the solution of two linear equations.