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Recurrence relations for Sobolev orthogonal polynomials. (English) Zbl 1466.42021

Summary: We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and the second kind, Gegenbauer (ultraspherical) polynomials, Hermite polynomials.

MSC:

42C05 Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis
26C05 Real polynomials: analytic properties, etc.
33C47 Other special orthogonal polynomials and functions
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