Inverse Factorial-series Solutions of Difference Equations
نویسندگان
چکیده
We obtain inverse factorial-series solutions of second-order linear difference equations with a singularity of rank one at infinity. It is shown that the Borel plane of these series is relatively simple, and that in certain cases the asymptotic expansions incorporate simple resurgence properties. Two examples are included. The second example is the large a asymptotics of the hypergeometric function 2F1(a, b; c;x).
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