Asymptotics of Selberg-like integrals: The unitary case and Newton's interpolation formula

Christophe Carré, Matthieu Deneufchatel, Jean-Gabriel Luque +1

We investigate the asymptotic behavior of the Selberg-like integral $$\frac{1}{N!}{\int }_{[0,1{]}^N}{x}_1^p\prod _{i<j}(x_i-x_j{)}^2\prod _i{x}_i^{a-1}(1-x_i{)}^{b-1}d{x}_i$$, as $N\to \infty$ for d…