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Separatrix eigenfunctions

Physical Review A, 1992
, Cary, , Rusu
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Some Properties of Eigenfunctions

SIAM Journal on Applied Mathematics, 1975
The purpose of this paper is to find simple relations between properties of eigenfunctions $y( x )$ and the density function $p( x )$ of the system $y'' + \lambda p( x )y = 0,y( { \pm 1} ) = 0$.
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Factorization Ladders and Eigenfunctions

Canadian Journal of Mathematics, 1949
The eigenfunctions of a boundary value problem are characterized by two quite distinct properties. They are solutions of ordinary differential equations, and they satisfy prescribed boundary conditions. It is a definite advantage to combine these two requirements into a single problem expressed by a unified formula.
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SOME EIGENFUNCTION FORMULAE

The Quarterly Journal of Mathematics, 1950
Sears, D. B., Titchmarsh, E. C.
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