Rigorous Asymptotics for the Lamé and Mathieu Functions and their Respective Eigenvalues with a Large Parameter

By application of the theory for second-order linear differential equations with two turning points developed in [Olver F.W.J., Philos. Trans. Roy. Soc. London Ser. A 278 (1975), 137-174], uniform asymptotic approximations are obtained in the first part of this paper for the Lamé and Mathieu functio...

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Veröffentlicht in:	Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2015-11, Vol.11
Hauptverfasser:	Ogilvie, Karen, Olde Daalhuis, Adri B.
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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