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5 February 1996Continuous-order derivative of a function with a known Fourier transform
We relate the definition of the continuous order derivative of a function, f(x) with Fourier transform F(v), with the continuous order derivative of monomials and polynomials, in x, as well as with that of functions expressible as Mclaurin series.
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Victor de Leon, Jorge Ojeda-Castaneda, "Continuous-order derivative of a function with a known Fourier transform," Proc. SPIE 2730, Second Iberoamerican Meeting on Optics, (5 February 1996); https://doi.org/10.1117/12.231079