A characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind
From MaRDI portal
Publication:2812110
DOI10.1080/10652469.2015.1121385zbMath1347.33019arXiv1108.0914OpenAlexW2259262307MaRDI QIDQ2812110
Publication date: 16 June 2016
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1108.0914
generating functionsChebyshev polynomialsorthogonal polynomialsHermite polynomialsultraspherical polynomialsBoas-Buck type polynomials
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
On a class ofd-symmetric polynomial sets generated byF(xt—R(t)) ⋮ On a class of polynomial sets generated by F(xt−R(t)) ⋮ A new characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind
Cites Work
- Gibbs sampling, exponential families and orthogonal polynomials
- Free martingale polynomials.
- A characterization of the Rogers \(q\)-Hermite polynomials
- On a class of free Lévy laws related to a regression problem
- q-Appell polynomials
- Orthogonal polynomials with Brenke type generating functions
- THE BRENKE TYPE GENERATING FUNCTIONS AND EXPLICIT FORMS OF MRM-TRIPLES BY MEANS OF Q-HYPERGEOMETRIC SERIES
- Polynomials Defined by Generating Relations
- Lectures on the Combinatorics of Free Probability
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- q-Pollaczek Polynomials and a Conjecture of Andrews and Askey
- Orthogonale Polynomsysteme Mit Einer Besonderen Gestalt Der Erzeugenden Funktion
