On the problem of limit zero distribution of type I Hermite–Padé polynomials and convergence of quadratic Shafer approximants

During the talk we suppose to discuss the problem of limit zero distribution of type I Hermite–Padé polynomials for the triple of multivalued analytic functions $[1,f,f^2]$ and its very close relation to the convergence problem of quadratic Shafer approximants. The talk is based on the results that were obtained recently in cooperation with Alexandr Komlov, Nikolai Kruzhilin, and Roman Palvelev.