Orthogonal polynomials associated to a certain fourth order differential equation

DOI10.1007/s11139-011-9338-6zbMath1236.33017arXiv0907.2612OpenAlexW3100954931WikidataQ115381335 ScholiaQ115381335MaRDI QIDQ409034

Joachim Hilgert, Toshiyuki Kobayashi, Jan Möllers, Gen Mano

Publication date: 12 April 2012

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2612

zbMATH Keywords

generating functionsorthogonal polynomialsrecurrence formulasLaguerre polynomialsBessel functionsminimal representationfourth orderMeijer's \(G\)-function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Semisimple Lie groups and their representations (22E46) Explicit solutions, first integrals of ordinary differential equations (34A05) General harmonic expansions, frames (42C15)

Related Items (2)

Special functions associated with a certain fourth-order differential equation ⋮ Minimal representations via Bessel operators

Cites Work

• Special functions associated with a certain fourth-order differential equation
• Orthogonal polynomials and higher order singular Sturm-Liouville systems
• Integral formula of the unitary inversion operator for the minimal representation of \(\text{O}(p,q)\)
• The Schrödinger model for the minimal representation of the indefinite orthogonal group 𝑂(𝑝,𝑞)
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