On a \(q\)-extension of the Hermite polynomials \(H_n(x)\) with the continuous orthogonality property on \(\mathbb{R}\)

zbMath1024.33015MaRDI QIDQ1394543

D. Massart

Publication date: 14 November 2003

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

orthogonality\(q\)-Hermite polynomialsthree-term recurrence relation

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Additive difference equations (39A10) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (1)

Generalized Picard singular integrals

This page was built for publication: On a \(q\)-extension of the Hermite polynomials \(H_n(x)\) with the continuous orthogonality property on \(\mathbb{R}\)