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We prove a Fredholm determinant and short-distance series representation of the Painlev\'e V tau function $\tau(t)$ associated to generic monodromy data.
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B. Ponsot, J. Teschner, Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of 𝒰 q ( 𝔰 𝔩 ( 2 , ℝ ) ) \mathcal{U}_{q}(\mathfrak{sl}(2,\mathbb{R}))
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N. A. Nekrasov, Seiberg-Witten prepotential from instanton counting
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L. Hadasz, Z. Jaskolski, M. Piatek, Analytic continuation formulae for the BPZ conformal block
2005
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A. S. Fokas, A. R. Its, A. A. Kapaev, V. Yu. Novokshenov, Painlevé transcendents: the Riemann-Hilbert approach
2006
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A. R. Its, B.-Q. Jin, V. E. Korepin, Entropy of XY spin chain and block Toeplitz determinants
2007
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M. Bershtein, A. Shchechkin, Bilinear equations on Painlevé tau functions from CFT
2015
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B. Carneiro da Cunha, F. Novaes, Kerr scattering coefficients via isomonodromy
2015
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N. Iorgov, O. Lisovyy, J. Teschner, Isomonodromic tau-functions from Liouville conformal blocks
2015
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2015
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O. Lisovyy, J. Roussillon, On the connection problem for Painlevé I
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L. Chekhov, M. Mazzocco, Colliding holes in Riemann surfaces and quantum cluster algebras
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