The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on October 13, 2015 at 14:00 in Room 478 of IMI.

A talk on:

On the Limit Zero Distribution of Type I Hermite–Padé Polynomials

will be delivered by N.R. Ikonomov, R.K. Kovacheva, S.P. Suetin.

Everybody is invited.

Abstract. We present the results of new numerical experiments on zero distribution of type I Hermite–Padé polynomials of order n=200 for three different collections of three functions [1, f₁, f₂]. We obtained these results numerically, and they not match any of the theoretical results that were proven so far. We consider three simple cases of multivalued analytic functions f₁ and f₂, with separated pairs of branch points belonging to the real line. In the first case both functions have two logarithmic branch points, in the second case they both have branch points of second order, and finally, in the third case they both have branch points of third order.