A new characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind

DOI10.1016/j.jmaa.2016.11.053zbMath1398.33005arXiv1605.05181OpenAlexW2963451466MaRDI QIDQ730219

Mohammed Mesk, Mohammed Brahim Zahaf

Publication date: 23 December 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05181

zbMATH Keywords

generating functionsChebyshev polynomialsorthogonal polynomialsHermite polynomialsrecurrence relationsultraspherical polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (3)

A new estimate for a quantity involving the Chebyshev polynomials of the first kind ⋮ On a class ofd-symmetric polynomial sets generated byF(xt—R(t)) ⋮ On a class of polynomial sets generated by F(xt−R(t))

Cites Work

• On the classical \(d\)-orthogonal polynomials defined by certain generating functions. I
• Orthogonal polynomials with Brenke type generating functions
• Orthogonality relations for a class of Brenke polynomials
• A characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind
• Polynomials Defined by Generating Relations
• Orthogonale Polynomsysteme Mit Einer Besonderen Gestalt Der Erzeugenden Funktion
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