On semiclassical linear functionals: Integral representations

DOI10.1016/0377-0427(93)E0248-KzbMath0829.33006MaRDI QIDQ1893583

I. A. Rocha, Francisco Marcellán

Publication date: 4 July 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

semiclassical functionals

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (13)

Bilinear semiclassical moment functionals and their integral representation ⋮ On semiclassical linear functionals of classs=2: classification and integral representations ⋮ Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials ⋮ Semiclassical multiple orthogonal polynomials and the properties of Jacobi-Bessel polynomials ⋮ Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions ⋮ Electrostatic partners and zeros of orthogonal and multiple orthogonal polynomials ⋮ The dependence on the monodromy data of the isomonodromic tau function ⋮ Continuous and discrete Painlevé equations arising from the gap probability distribution of the finite \(n\) Gaussian unitary ensembles ⋮ Semi-classical linear functionals and integral representation II ⋮ Semi-Classical Linear Functionals and Integral Representation ⋮ Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one ⋮ Complex path integral representation for semiclassical linear functionals ⋮ Multiple orthogonal polynomials

Cites Work

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• Sur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
• Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)
• A differential equation for orthogonal polynomials
• Distributional Weight Functions for Orthogonal Polynomials

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