In the theory of Pad e approximation locally uniform convergence has been proved only for special classes of functions: for much larger classes convergence in capacity has been shown to hold true.â€¦ (More)

The convergence of (diagonal) sequences of rational interpolants to an analytic function is investigated. Problems connected with their definition are shortly discussed. Results about locally uniformâ€¦ (More)

Let f (z)= (t&z) d+(t) be a Markov function, where + is a positive measure with compact support in R. We assume that supp(+)/(&1, 1), and investigate the best rational approximants to f in the Hardyâ€¦ (More)

The paper contains a simplified version of Stahlâ€™s proof of a conjecture of Bessis, Moussa and Villani on the trace of matrices A + tB with Hermitian A and B. MSC 2010 Class: 47A55, 30F10.

Let G be a finite union of disjoint and bounded Jordan domains in the complex plane, let K be a compact subset of G, and consider the set G obtained from G by removing K; i.e., G := G \ K. We referâ€¦ (More)