A second-order Ordinary Differential Equation
where is a constant and is a known function called either the density or Weighting Function. The
solutions (with appropriate boundary conditions) of are called Eigenvalues and the
corresponding Eigenfunctions. The solutions of this equation satisfy important
mathematical properties under appropriate boundary conditions (Arfken 1985).
See also Adjoint Operator, Self-Adjoint Operator
Arfken, G. ``Sturm-Liouville Theory--Orthogonal Functions.'' Ch. 9 in
Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 497-538, 1985.
© 1996-9 Eric W. Weisstein