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math-ph2000
Integrability, Random Matrices and Painlevé Transcendents
N. S. Witte, P. J. Forrester, Christopher M. Cosgrove
The probability that an interval is free of eigenvalues in a matrix ensemble with unitary symmetry is given by a Fredholm determinant. When the weight function in the matrix en…
math.QA2000
Pieri-type formulas for the non-symmetric Jack polynomials
P. J. Forrester, D. S. McAnally
In the theory of symmetric Jack polynomials the coefficients in the expansion of the th elementary symmetric function times a Jack polynomial expressed as a series in J…