in context, we first note that the expression (1.3) for 
has
been made more explicit by Jimbo et al. [4], who proved that
where 
satisfies the 
form of the Painlevé V equation:
subject to the boundary condition
Subsequent derivations of this result have been given by Its et al. [5],
Mehta [6] and Tracy and Widom [7]. Our expression for 
is given in
terms of the solution of a non-linear equation which generalizes (2.2).
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