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IMA Journal of Applied Mathematics 1971 7(3):331-336; doi:10.1093/imamat/7.3.331
© 1971 by Institute of Mathematics and its Applications
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Lamé's Equation and Its Use in Elliptic Cone Problems

R. S. TAYLOR and F. M. ARSCOTT

Department of Mathematics, University of Surrey Guildford, Surrey, England

A new solution is obtained for Lamé's equation

Formula
in the form of a perturbation series about k = 0; numerical accuracy appears to be high when v is moderate and k not too close to 1, so that the solution is of practical value in problems involving elliptic cones or infinite sectors.


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