Virginia TechNayfeh, Ali H.2014-04-092014-04-091974-12-01Nayfeh, A. H., "asymptotic solutions of second-order linear equations with 3 transition points," J. Math. Phys. 15, 2063 (1974); http://dx.doi.org/10.1063/1.16665820022-2488http://hdl.handle.net/10919/47023A 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.application/pdfen-USIn CopyrightDifferential equationsEigenvaluesLinear equationsArticle - Refereedhttp://scitation.aip.org/content/aip/journal/jmp/15/12/10.1063/1.1666582https://doi.org/10.1063/1.1666582