Walter L. Anderson 1975 New algorithms are described for evaluating Fourier (cosine, sine) and Hankel (J₀,J₁) transform integrals by means of digital filters. The filters have been designed with extended lengths so that a variable convolution operation can be applied to a large class of integral transforms having the same system transfer function. A f' lagged-convolution method is also presented to significantly decrease the computation time when computing a series of like-transforms over a parameter set spaced the same as the filters. Accuracy of the new filters is comparable to Gaussian integration, provided moderate parameter ranges and well-behaved kernel functions are used. A collection of Fortran IV subprograms is included for both real and complex functions for each filter type. The algorithms have been successfully used in geophysical applications containing a wide variety of integral transforms application/pdf 10.3133/70045426 en U.S. Geological Survey Improved digital filters for evaluating Fourier and Hankel transform integrals reports