The generalized Hermite polynomials, their properties, and the differential equation which they satisfy

DOI10.15407/DOPOVIDI2020.09.003zbMath1463.33024OpenAlexW3089448267MaRDI QIDQ5135972

No author found.

Publication date: 24 November 2020

Published in: Reports of the National Academy of Sciences of Ukraine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/dopovidi2020.09.003

zbMATH Keywords

generating functionorthogonalitythree-term recurrence relationdifferential operator of infinite orderRodrigues generalized formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

Related Items (1)

A new approach to the construction of generalized classical polynomials

This page was built for publication: The generalized Hermite polynomials, their properties, and the differential equation which they satisfy