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- W2048725550 abstract "We study a Fredholm determinant of the hypergeometric kernel arising in the representation theory of the infinite-dimensional unitary group. It is shown that this determinant coincides with the Palmer-Beatty-Tracy tau function of a Dirac operator on the hyperbolic disk. Solution of the connection problem for Painleve VI equation allows to determine its asymptotic behavior up to a constant factor, for which a conjectural expression is given in terms of Barnes functions. We also present analogous asymptotic results for the Whittaker and Macdonald kernel." @default.
- W2048725550 created "2016-06-24" @default.
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- W2048725550 date "2009-10-10" @default.
- W2048725550 modified "2023-09-24" @default.
- W2048725550 title "Dyson's constant for the hypergeometric kernel" @default.
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- W2048725550 doi "https://doi.org/10.48550/arxiv.0910.1914" @default.
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