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math.CA2016
Computation of asymptotic expansions of turning point problems via Cauchy's integral formula: Bessel functions
T. M. Dunster, A. Gil, J. Segura
Linear second order differential equations having a large real parameter and turning point in the complex plane are considered. Classical asymptotic expansions for solutions involv…
math.CA2016
Asymptotics of Prolate Spheroidal Wave Functions
T. M. Dunster
Uniform asymptotic approximations are obtained for the prolate spheroidal wave functions, in the high-frequency case. The results are obtained by an application of certain existing…