On the convergence of the Padé approximants for meromorphic functions of Stieltjes type

The convergence problem is studied for the diagonal Padé approximants for functions of the form $f=\widehat\mu+r$, where $\mu$ is a positive measure on $[0,+\infty)$, $\widehat\mu=\mu*\frac1z$ and $r$ is a rational function with real coefficients.
Bibliography: 12 titles.