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math-ph2025
On Fredholm Pfaffians and Riemann-Hilbert problems
Thomas Bothner, Amari Jaconelli
It is shown how classes of Fredholm Pfaffians can be computed in terms of canonical, auxiliary Riemann-Hilbert problems as soon as the main kernel in the Pfaffian is either of addi…
math-ph2025
Asymptotic analysis of a Family of Painlevé Functions with Applications to CUE Derivative Moments
Thomas Bothner, Fei Wei
The Riemann-Hilbert method is employed to carry out an asymptotic analysis of a family of -Painlevé V functions associated with Hankel determinants involving the confluent hyper…