Abstract
We begin by repeating the results of the previous chapter while restricting ourselves to differential equations of the second order. We then discuss the four classical sets of orthgonal polynomials satisfying a collection of differential equations of second order, both formally, then in an L 2 setting as eigenfunctions for a differential operator. Subcases are also exhibited. Finally we examine the one enigmatic case, the Bessel polynomials.
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Krall, A.M. (2002). Orthogonal Polynomials Satisfying Second 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_14
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DOI: https://doi.org/10.1007/978-3-0348-8155-5_14
Publisher Name: Birkhäuser, Basel
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