The polynomial Hermite-Padé -system for meromorphic functions on a compact Riemann surface
The polynomial Hermite-Padé -system for meromorphic functions on a compact Riemann surface
Abstract Given a tuple of germs of arbitrary analytic functions at a fixed point, we introduce the polynomial Hermite-Padé -system, which includes the Hermite-Padé polynomials of types I and II. In the generic case we find the weak asymptotics of the polynomials of the Hermite-Padé -system constructed from the tuple …