Sharp error bounds for turning point expansions

Published 10 Sep 2020 in math.CA | (2009.04666v1)

Abstract: Computable and sharp error bounds are derived for asymptotic expansions for linear differential equations having a simple turning point. The expansions involve Airy functions and slowly varying coefficient functions. The sharpness of the bounds is illustrated numerically with an application to Bessel functions of large order.

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