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Asymptotic Solutions Of Second-Order Linear Equations with 3 Transition Points
Nayfeh, Ali H.
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A uniformly valid asymptotic expansion is obtained for the regular solution of a class of second_order linear differential equations with three transition points_a turning point and two regular singular points. The solution is found by matching three different solutions obtained using the Langer Transformation. The matching yields the eigenvalues and the eigenfunctions.