Geodesic
Recurrence relations for Sobolev orthogonal polynomials
Problemy analiza, Tome 9 (2020) no. 2, pp. 97-118

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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.
Keywords: recurrence relations, Jacobi polynomials, Chebyshev polynomials, ultraspherical polynomials, Gegenbauer polynomials, Hermite polynomials, special polynomials.
Mots-clés : Sobolev orthogonal polynomials, Legendre polynomials, Laguerre polynomials 
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     author = {M. S. Sultanakhmedov},
     title = {Recurrence relations for {Sobolev} orthogonal polynomials},
     journal = {Problemy analiza},
     pages = {97--118},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2020_9_2_a6/}
}
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M. S. Sultanakhmedov. Recurrence relations for Sobolev orthogonal polynomials. Problemy analiza, Tome 9 (2020) no. 2, pp. 97-118. http://geodesic.mathdoc.fr/item/PA_2020_9_2_a6/