Asymptotic Solutions Of Second-Order Linear Equations with 3 Transition Points
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TR Number
Date
1974-12-01
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Journal ISSN
Volume Title
Publisher
AIP Publishing
Abstract
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.
Description
Keywords
Differential equations, Eigenvalues, Linear equations
Citation
Nayfeh, A. H., "asymptotic solutions of second-order linear equations with 3 transition points," J. Math. Phys. 15, 2063 (1974); http://dx.doi.org/10.1063/1.1666582