Abstract
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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© 2002 Springer Basel AG
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Krall, A.M. (2002). Orthogonal Polynomials Satisfying Fourth Order Differential Equations. In: Hilbert Space, Boundary Value Problems and Orthogonal Polynomials. Operator Theory: Advances and Applications, vol 133. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8155-5_15
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DOI: https://doi.org/10.1007/978-3-0348-8155-5_15
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9459-3
Online ISBN: 978-3-0348-8155-5
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