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math.CA2020
Uniform asymptotic expansions for solutions of the parabolic cylinder and Weber equations
T. M. Dunster
Asymptotic expansions are derived for solutions of the parabolic cylinder and Weber differential equations. In addition the inhomogeneous versions of the equations are considered,…
math.CA2020
Sharp error bounds for turning point expansions
T. M. Dunster, A. Gil, J. Segura
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 s…
math.CA2020
Asymptotic solutions of inhomogeneous differential equations having a turning point
T. M. Dunster
Asymptotic solutions are derived for inhomogeneous differential equations having a large real or complex parameter and a simple turning point. They involve Scorer functions and thr…