A positive definite linear functional of class \(s=2\), generalization of Chebyshev polynomials

DOI10.1007/s10998-019-00299-wzbMath1474.33054OpenAlexW2991371531MaRDI QIDQ2204123

Majed Benabdallah, Mohamed Ihssen Tounsi, Atia, Mohamed Jalel

Publication date: 2 October 2020

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-019-00299-w

zbMATH Keywords

orthogonal polynomialsquadratic decompositionsymmetric sequencessemiclassical sequences

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)

Cites Work

• Some generalized Jacobi polynomials.
• The impact of Stieltjes' work on continued fractions and orthogonal polynomials: Additional material
• Quadratic decomposition of symmetric semi-classical polynomial sequences of even class: an example from the cases = 2
• Quadratic decomposition of the symmetric semi-classical polynomial sequences of odd class: some examples from the class three
• An example of nonsymmetric semi-classical form of class \(s=1\); generalization of a case of Jacobi sequence
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