Special functions associated with a certain fourth-order differential equation
type: Item
instance of: scholarly article
title: Special functions associated with a certain fourth-order differential equation
zbMATH Open document ID: 1232.33014
author: Joachim Hilgert
author: Toshiyuki Kobayashi
author: Gen Mano
author: Jan Möllers
published in: The Ramanujan Journal
publication date: 2012-01-26T00:00:00Z
full work available at URL: https://arxiv.org/abs/0907.2608
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 42C15
zbMATH DE Number: 6000235
zbMATH Keywords: fourth-order differential equations
zbMATH Keywords: generating functions
zbMATH Keywords: Bessel functions
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: Laguerre polynomials
zbMATH Keywords: recurrence relations
zbMATH Keywords: Meijer's \(G\)-function
zbMATH Keywords: minimal representation
zbMATH Keywords: indefinite orthogonal group
Wikidata QID: Q115381338
MaRDI profile type: Publication
OpenAlex ID: W3102614941
arXiv ID: 0907.2608
cites work: Q4222737
cites work: Q5824493
cites work: Q5827353
cites work: The G and H Functions as Symmetrical Fourier Kernels
cites work: Orthogonal polynomials associated to a certain fourth order differential equation
cites work: Stable branching rules for classical symmetric pairs
cites work: Integral formula of the unitary inversion operator for the minimal representation of \(\text{O}(p,q)\)
cites work: The Schrödinger model for the minimal representation of the indefinite orthogonal group 𝑂(𝑝,𝑞)
cites work: Analysis on the minimal representation of O(\(p,\) \(q\)). III: Ultrahyperbolic equations on \(\mathbb{R}^{p-1,q-1}\)
cites work: Q3972932
cites work: Q5682517
cites work: Q5846799
DOI: 10.1007/S11139-011-9315-0
description: scientific article