On the neutral Hermite product of the distributionsx±nand δ(m)(x)

DOI10.1080/10652460701880094zbMath1152.46026OpenAlexW2027907553MaRDI QIDQ3518293

Chun Shen, Mei-na Sun

Publication date: 7 August 2008

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

Full work available at URL: https://doi.org/10.1080/10652460701880094

zbMATH Keywords

tempered distributionsrecurrence relationsHermite expansionproduct of distributionsexpansion coefficientsHermite function

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (1)

Tempered generalized functions and Hermite expansions

Cites Work

• Unnamed Item
• Unnamed Item
• Orthogonality properties of the Hermite and related polynomials
• Operational methods and differential equations with applications to initial-value problems
• On the non-commutative neutrix product of the distributions \(x^{\lambda}_{ + }\) and \(x^{\mu}_{ + }\)
• The use of generalized Laguerre polynomials in spectral methods for nonlinear differential equations
• Hermite expansions and products of tempered distributions
• On the connection coefficients and recurrence relations arising from expansions in series of hermite polynomials
• Operational versus Lie-algebraic methods and the theory of multi-variable Hermite polynomials
• Hardy’s inequalities for Hermite and Laguerre expansions

This page was built for publication: On the neutral Hermite product of the distributionsx^±nand δ^(m)(x)