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Symmetrization of Nonsymmetric Macdonald Polynomials and Macdonald's Inner Product Identities
Studies in Applied Mathematics, 2002We study the Macdonald polynomials that give eigenstates of some quantum many‐body system with long‐range interactions. Scalar products of the nonsymmetric Macdonald polynomials are algebraically evaluated through their Rodrigues‐type formulas. We present a new proof of Macdonald's inner product identities without recourse to the shift operators; that ...
Nishino, Akinori +3 more
openaire +2 more sources
Rodrigues Formula for the Nonsymmetric Macdonald Polynomial
Journal of the Physical Society of Japan, 1999Summary: Through the \(q\)-deformation of the method developed by Takamura and Takano for the nonsymmetric Jack polynomials, we present the Rodrigues formula for the nonsymmetric Macdonald polynomials.
Nishino, Akinori +2 more
openaire +1 more source
Why High-Order Polynomials Should Not Be Used in Regression Discontinuity Designs
Journal of Business and Economic Statistics, 2019Andrew Gelman, Guido Imbens
exaly
Global Optimization with Polynomials and the Problem of Moments
SIAM Journal on Optimization, 2001Jean Bernard Lasserre
exaly
On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy
Journal of Computational Physics, 2016Natasha Flyer +2 more
exaly
Model Fractional Quantum Hall States and Jack Polynomials
Physical Review Letters, 2008B Andrei Bernevig, Duncan Haldane
exaly

