Orthogonal polynomials satisfying fourth order differential equations

Since they are rather important and quite accessible, we repeat the general theoretical facts concerning weights, moments and polynomials pertaining to fourth order differential equations. We then briefly discuss the squares of the differential equations of the second order, giving a number of easily derived examples of fourth order problems. This is followed by three new orthogonal polynomial sets satisfying fourth order differential equations, but which do not satisfy second order differential equations.

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