On the positive semidefinteness of a class of Hermitian Cauchy-like matrices

We establish the positive semidefiniteness of a class of Hermitian Cauchy-like matrices associated with real Hurwitz polynomials having distinct zeros. Writing the zeros as $-λ_1,\ldots,-λ_n$, the matrix entries are defined through ratios of elementary symmetric polynomials in the variables $λ_i$. T