Quadratic decomposition of a Laguerre-Hahn polynomial sequence. II

DOI10.1007/s00009-010-0107-3zbMath1241.33011OpenAlexW2051676018MaRDI QIDQ414383

Francisco Marcellán, Belgacem Bouras

Publication date: 11 May 2012

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0107-3

zbMATH Keywords

orthogonal polynomialsLaguerre-Hahn polynomialsrecurrence coefficientsstructure relation coefficients

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items

Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition, Quasi-symmetric orthogonal polynomials on the real line: moments, quadrature rules and invariance under Christoffel modifications, Symbolic approach to the general quadratic polynomial decomposition

Cites Work

• Quadratic decomposition of a Laguerre-Hahn polynomial sequence. I.
• Perturbations of Laguerre-Hahn linear functionals
• Eigenproblems for tridiagonal 2-Toeplitz matrices and quadratic polynomial mappings
• La multiplication d'une forme linéaire par une fraction rationnelle. Application aux formes de Laguerre-Hahn
• Symmetric laguerre-hahn forms of classs=1
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