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Asymptotics of orthogonal polynomials and point perturbation on the unit circle
point masses bounded variation asymptotics of orthog-onal polynomials Kooman’s theorem
2010/12/1
In the first five sections, we deal with the class of probability measures with asymptotically periodic Verblunsky co-efficients of p-type bounded variation. The goal is to investigate
the perturbati...
Exceptional orthogonal polynomials, QHJ formalism and SWKB quantization condition
Exceptional orthogonal polynomials QHJ formalism SWKB quantization condition
2010/12/3
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...
A Pieri formula for Macdonald's spherical functions and polynomials
symmetric functions Hall-Littlewood polynomials Macdonald poly-nomials Pieri formulas root systems
2010/12/10
We present explicit Pieri formulas for Macdonald’s spherical func-tions (or generalized Hall-Littlewood polynomials associated with root sys-tems) and their q-deformation the Macdonald polynomials. Fo...