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Orthogonal polynomials in the normal matrix model with a cubic potential
Orthogonal polynomials the normal matrix model Classical Analysis and ODEs
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2011/7/27
Orthogonal polynomials in the normal matrix model with a cubic potential.
Higher-order SUSY, exactly solvable potentials, and exceptional orthogonal polynomials
quantum mechanics supersymmetry orthogonal polynomials
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2011/7/26
Higher-order SUSY, exactly solvable potentials, and exceptional orthogonal polynomials.
Riemann--Hilbert problems, matrix orthogonal polynomials and discrete matrix equations with singularity confinement
Riemann--Hilbert problems matrix orthogonal polynomials discrete matrix equations singularity confinement
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2011/7/27
Abstract: In this paper matrix orthogonal polynomials in the real line are described in terms of a Riemann--Hilbert problem. This approach provides an easy derivation of discrete equations for the cor...
Exceptional orthogonal polynomials, QHJ formalism and SWKB quantization condition
orthogonal polynomials QHJ formalism SWKB quantization condition
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2010/10/26
We study the quantum Hamilton-Jacobi structure of the recently obtained exactly solvable models, related to the newly discovered exceptional polynomials. The fact that the eigenfunctions have zeros an...