Rigorous asymptotics for the Lamé, Mathieu and spheroidal wave equations with a large parameter

We are interested in rigorous asymptotic results pertaining to three different differential equations which lie in the Heun class (see [1] §31). The Heun class contains those ordinary linear second-order differential equations with four regular singularities. We first investigate the Lamé equation d...

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Bibliographic Details
Main Author: Ogilvie, Karen Anna
Other Authors: Olde-Daalhuis, Adri ; Vanneste, Jacques
Published: University of Edinburgh 2016
Subjects:
515
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.726550