110 citations · 452 across the 18 of their papers we have counts for
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math-ph2017★ 2 cited
Large-degree asymptotics of rational Painleve-IV functions associated to generalized Hermite polynomials
Robert Buckingham
The Painleve-IV equation has three families of rational solutions generated by the generalized Hermite polynomials. Each family is indexed by two positive integers m and n. These f…
math-ph2017★ 50 cited
Large deformations of the Tracy-Widom distribution I. Non-oscillatory asymptotics
Thomas Bothner, Robert Buckingham
We analyze the left-tail asymptotics of deformed Tracy-Widom distribution functions describing the fluctuations of the largest eigenvalue in invariant random matrix ensembles after…