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Exact Remainders for Asymptotic Expansions of Fractional Integrals
This research was supported in part by the National Research Council of Canada under Grants NRC-A-8069 and NRC-A-7359.
https://doi.org/10.1142/9789814656054_0010Cited by:0 (Source: Crossref)
Abstract: 
This is a continuation of work begun in an earlier paper in which we used the theory of distributions to derive explicit expressions for the remainder terms associated with the asymptotic expansions of the Stieltjes transform. In this paper similar results are obtained for the fractional integral of order α defined by
Here f(t) is a locally integrable function on [0, ∞) and satisfies
