A family of second degree semi-classical forms of class \(s=1\)

DOI10.1007/s11139-011-9313-2zbMath1269.42019OpenAlexW2067306116MaRDI QIDQ660159

Mabrouk Sghaier

Publication date: 26 January 2012

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-011-9313-2

zbMATH Keywords

orthogonal polynomialssecond degree formssemi-classical forms

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 (7)

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 ⋮ Some Laguerre-Hahn orthogonal polynomials of class one ⋮ Several characterizations of third-degree semiclassical linear forms of class two appearing via cubic decomposition ⋮ Orthogonality of the Dickson polynomials of the $(k+1)$-th kind ⋮ A description of second degree semiclassical forms of class two arising via cubic decomposition ⋮ A large family of D_w-semiclassical polynomials of class one

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
• Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type
• On semi-classical linear functionals of class \(s=1\). Classification and integral representations
• 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
• The second-order self-associated orthogonal sequences
• On Bernstein–Szegö Orthogonal Polynomials on Several Intervals
• Symmetric laguerre-hahn forms of classs=1
• A large family of semi-classical polynomials of class one

This page was built for publication: A family of second degree semi-classical forms of class \(s=1\)