A family of symmetric second degree semiclassical forms of class \(s = 2\)

DOI10.1007/s40065-012-0030-5zbMath1253.42024OpenAlexW2012948299WikidataQ59288463 ScholiaQ59288463MaRDI QIDQ692444

Mabrouk Sghaier

Publication date: 6 December 2012

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

Full work available at URL: https://doi.org/10.1007/s40065-012-0030-5

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 (5)

A description via second degree character of a family of quasi-symmetric forms ⋮ Characterization theorem for strict third-degree semiclassical forms of class one obtained via cubic decomposition ⋮ The algebraic equation \(xu=\lambda x^3 v\) in the symmetric case ⋮ Several characterizations of third-degree semiclassical linear forms of class two appearing via cubic decomposition ⋮ A description of second degree semiclassical forms of class two arising via cubic decomposition

Cites Work

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• Semiclassical forms of class \(s = 2\): The symmetric case, when \(\Phi(0) = 0\)
• Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type
• Two point masses perturbation of regular moment functionals
• Second degree classical forms
• Second degree semi-classical forms of class \(s=1\). The symmetric case
• A large family of semi-classical polynomials: The perturbed Chebyshev
• Some semi-classical and Laguerre-Hahn forms defined by pseudo-functions
• On Bernstein–Szegö Orthogonal Polynomials on Several Intervals
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)

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