Higher-Order Linear Differential Equations for Unitary Matrix Integrals: Applications and Generalisations

Peter J. Forrester, Fei Wei

In this paper, we consider characterisations of the class of unitary matrix integrals $⟨(\det U{)}^q{\mathrm{e}}^{s^{1/2}\mathrm{Tr}(U+U^{†})}{⟩}_{U(l)}$…