An example of non-definite positive second degree form

DOI10.1080/10652469.2016.1158715zbMath1357.33014OpenAlexW2565671082MaRDI QIDQ2816495

Manoubi Méjri

Publication date: 23 August 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2016.1158715

zbMATH Keywords

semi-classical polynomialssecond degree formsorthogonality measure

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 (2)

Characterization of the symmetricD-Laguerre–Hahn orthogonal polynomial sequences of even class via the quadratic decomposition ⋮ On the Christoffel product of a \(D\)-Laguerre-Hahn form by a polynomial of one degree

Cites Work

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• 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 \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
• On semi-classical linear functionals of class \(s=1\). Classification and integral representations
• The \(I_{(q,\omega)}\) classical orthogonal polynomials
• An introduction to second degree forms
• Semi-classical linear functionals and integral representation II

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