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Orthogonal Polynomials Satisfying Sixth Order Differential Equations

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Hilbert Space, Boundary Value Problems and Orthogonal Polynomials

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 133))

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Abstract

We remind the reader that every even ordered formally symmetric differential operator can be rewritten as a real symmetric linear Hamiltonian system.

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References

  1. L. L. Littlejohn, The Krall polynomials: A new class of orthogonal polynomials, Quaes. Math. 5 (1982), 255–265.

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  4. R. Koekoek, Differential equations for symmetric generalized ultraspherical polynomials, Trans. Amer. Math. Soc. 345 (1994), 47–72.

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© 2002 Springer Basel AG

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Krall, A.M. (2002). Orthogonal Polynomials Satisfying Sixth 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_16

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  • DOI: https://doi.org/10.1007/978-3-0348-8155-5_16

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9459-3

  • Online ISBN: 978-3-0348-8155-5

  • eBook Packages: Springer Book Archive

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