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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
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
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
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
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...