Complex exceptional orthogonal polynomials and quasi-invariance

DOI10.1007/s11005-016-0828-8zbMath1337.33008arXiv1509.07008OpenAlexW2202514844WikidataQ59475538 ScholiaQ59475538MaRDI QIDQ282948

Martin A. Hallnäs, Alexander P. Veselov, William A. Haese-Hill

Publication date: 13 May 2016

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07008

zbMATH Keywords

Darboux transformationsquasi-invarianceexceptional orthogonal polynomialstrivial monodromy

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Other special orthogonal polynomials and functions (33C47)

Related Items (4)

Recurrence relations for Wronskian Hermite polynomials ⋮ Exceptional Laurent biorthogonal polynomials through spectral transformations of generalized eigenvalue problems ⋮ Shape invariance and equivalence relations for pseudo-Wronskians of Laguerre and Jacobi polynomials ⋮ Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence

Cites Work

• Unnamed Item
• Unnamed Item
• Oscillation theorems for the Wronskian of an arbitrary sequence of eigenfunctions of Schrödinger's equation
• Differential equations in the spectral parameter
• An extension of Bochner's problem: exceptional invariant subspaces
• Huygens' principle in Minkowski spaces and soliton solutions of the Korteweg-de Vries equation
• A modification of Crum's method
• Zeros of Wronskians of Hermite polynomials and Young diagrams
• Multidimensional Baker-Akhiezer functions and Huygens' principle
• Singular soliton operators and indefinite metrics
• Orthogonal Laurent polynomials. A new algebraic approach
• On Stieltjes relations, Painlevé-IV hierarchy and complex monodromy
• On the rational monodromy-free potentials with sextic growth
• Jointly orthogonal polynomials
• Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
• ASSOCIATED STURM-LIOUVILLE SYSTEMS
• Monodromy-free Schrödinger operators with quadratically increasing potentials

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