Differintegral interpolation from a bandlimited signal's samples

The Whittaker-Shannon cardinal series dictates that any L 2 bandlimited signal is defined everywhere by its (sufficiently closely spaced) sample values. This paper derives those interpolation functions necessary for direct evaluation of such a signal's derivatives, integrals, and fractional derivatives directly from the sample values. Generation and recursion formulas for these interpolation functions are presented.

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