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Self-Adjoint Operators Generated from Non-Lagrangian Symmetric Differential Equations Having Orthogonal Polynomial Eigenfunctions
We discuss the self-adjoint spectral theory associated with a certain fourth-order non-Lagrangian symmetrizable ordinary differential equation l 4 [y] = λy that has a sequence of orthogonal polynomial solutions.This example was first discovered by Jung, Kwon, and Lee.In their paper, they derive the remarkable formula for these polynomialswhere {P L …