Generating functions and a family of special orthogonal polynomials

DOI10.1080/10652469.2017.1404595zbMath1384.33022OpenAlexW2770008153MaRDI QIDQ5374298

Achraf Khlifi, Mabrouk Sghaier

Publication date: 10 April 2018

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

Full work available at URL: https://doi.org/10.1080/10652469.2017.1404595

zbMATH Keywords

generating functionsorthogonal polynomialsquadratic decomposition

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

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• On the assignment of a Dirac-mass for a regular and semi-classical form
• Generating functions and companion symmetric linear functionals
• On a family of a semiclassical orthogonal polynomial sequences of class two
• Some Generating Functions for Laguerre and Hermite Polynomials
• Some new results about a set of semi-classical polynomials of classs=1
• Symmetric laguerre-hahn forms of classs=1
• A large family of semi-classical polynomials of class one
• Generating Functions of Jacobi and Related Polynomials

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