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In this paper we study the characteristic or generating function of a certain discontinuous linear statistic of the Laguerre unitary ensembles and show that this is a particular fifth Painlevé transcendent in the variable t, the position of the discontinuity. The proof of the ladder operators adapted to orthogonal polynomial with discontinuous weight announced sometime ago  is presented here, followed by the nonlinear difference equations satisfied by two auxiliary quantities and thedoi:10.1088/1751-8113/42/3/035203 fatcat:ahra5he6prelncglfu2ukcvylq