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solv-int1998
On the Solution of a Painlevé III Equation
Harold Widom
In a 1977 paper of McCoy, Tracy and Wu there appeared for the first time the solution of a Painlevé equation in terms of Fredholm determinants of integral operators. This equation…
solv-int1998
Asymptotics of a class of Fredholm determinants
Craig A. Tracy, Harold Widom
In this expository article we describe the asymptotics of certain Fredholm determinants which provide solutions to the cylindrical Toda equations, and we explain how these asymptot…