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math-ph2016★ 19 cited
Backlund transformation of Painleve III() tau function
M. A. Bershtein, A. I. Shchechkin
We study explicit formula (suggested by Gamayun, Iorgov, Lisovyy) for Painlevé III() function in terms of Virasoro conformal blocks with central charge . The Painlevé e…
math-ph2016★ 42 cited
Q-deformed Painleve tau function and q-deformed conformal blocks
M. A. Bershtein, A. I. Shchechkin
We propose -deformation of the Gamayun-Iorgov-Lisovyy formula for Painlevé function. Namely we propose formula for function for -difference Painlevé equation correspo…