Second order exponential differential operator and generalized Hermite polynomials

DOI10.1016/j.amc.2008.09.043zbMath1171.33009OpenAlexW2040891349MaRDI QIDQ2378702

Zhengyuan Wei, Xin Sheng Zhang

Publication date: 14 January 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.09.043

zbMATH Keywords

Hermite polynomialsorthogonalityStein identityexponential differential operator

Mathematics Subject Classification ID

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

Related Items (1)

Old and new results about relativistic Hermite polynomials

Cites Work

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• Operational methods and differential equations with applications to initial-value problems
• Siegel's formula via Stein's identities
• Stochastic processes and orthogonal polynomials
• A simple expression for the multivariate Hermite polynomials
• Normal moments and Hermite polynomials
• Hermite and Laguerre \(2D\) polynomials

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