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Riesz fractional derivatives of a function, D α x f (x) (also called Riesz potentials), are defined as fractional powers of the Laplacian. Asymp-totic expansions for large x are computed for the Riesz fractional derivatives of the Airy function of the first kind, Ai(x), and the Scorer function, Gi(x). Reduction formulas are provided that allow one to… (More)

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