Finite Fourier-Bessel expansions

The development and application of Fourier-Bessel series to the expansion of integrable, piece-wise continuous or discrete functions is presented. The characteristics of Fourier-Bessel expansions applied to specific and general functions is studied, and methods for improving the efficiency of these expansions for a given error magnitude is presented. Some new summability and extrapolation techniques are presented. A reliable method of determining the cutoff frequency for a wide class of discrete functions is also presented.Mechanical Engineering, Department o