An integral representation for the product of two parabolic cylinder functions having unrelated arguments

DOI10.1080/10652469.2015.1053086zbMath1331.33009arXiv1502.00102OpenAlexW1597823461MaRDI QIDQ3448962

No author found.

Publication date: 3 November 2015

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

Full work available at URL: https://arxiv.org/abs/1502.00102

zbMATH Keywords

integral representationHermite polynomialparabolic cylinder functionshyperbolic integral

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (5)

Lebedev identities and integral representations of products of Hermite functions ⋮ Arnold Lagrangian singularity in the asymptotics of the solution of a model two-dimensional Helmholtz equation with a localized right-hand side ⋮ An integral representation for the product of parabolic cylinder functions ⋮ Some integral representations and limits for (products of) the parabolic cylinder function ⋮ Product of parabolic cylinder functions involving Laplace transforms of confluent hypergeometric functions

Cites Work

• Some integral representations and limits for (products of) the parabolic cylinder function
• A Nicholson-Type Integral for the Product of Two Parabolic Cylinder Functions D ν ( x ) D ν (− x ) AT ℜν≪0

This page was built for publication: An integral representation for the product of two parabolic cylinder functions having unrelated arguments