Some new results about a set of semi-classical polynomials of classs=1

DOI10.1080/10652460903415632zbMath1200.33014OpenAlexW2086278417MaRDI QIDQ3584668

Mabrouk Sghaier

Publication date: 30 August 2010

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

Full work available at URL: https://doi.org/10.1080/10652460903415632

zbMATH Keywords

orthogonal polynomialssemi-classical polynomialsdifferential equationshypergeometric functionintegral representations

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 (6)

Some Laguerre-Hahn orthogonal polynomials of class one ⋮ Generating functions and a family of special orthogonal polynomials ⋮ Characterization of basic sets of orthogonalq-polynomials via someq-difference equations ⋮ Division problem of a regular form: the case \(x^2u=\lambda xv\) ⋮ On a family of a semiclassical orthogonal polynomial sequences of class two ⋮ A large family of D_w-semiclassical polynomials of class one

Cites Work

• Unnamed Item
• On semi-classical linear functionals of class \(s=1\). Classification and integral representations
• Semi-classical character and finite-type relations between polynomial sequences
• Some Extension of the bessel-type orthogonal polynomials
• Symmetric laguerre-hahn forms of classs=1
• A large family of semi-classical polynomials of class one
• Generalized Gegenbauer orthogonal polynomials

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