This paper is concerned with Hermite-Padé rational approximants of analytic functions and
their connection with multiple orthogonal polynomial ensembles of random matrices. Results …

We investigate the asymptotic zero distribution of Heine-Stieltjes polynomials–polynomial
solutions of second order differential equations with complex polynomial coefficients. In the …

This paper is devoted to a study of S-curves, that is systems of curves in the complex plane
whose equilibrium potential in a harmonic external field satisfies a special symmetry …

Multiple orthogonal polynomials are traditionally studied because of their connections to
number theory and approximation theory. In recent years they were found to be connected to …

Аппроксимации Эрмита--Паде и ансамбли совместно ортогональных многоч Page 1
2011 г. ноябрь — декабрь т. 66, вып. 6 (402) УСПЕХИ МАТЕМАТИЧЕСКИХ НАУК УДК …

Recent works have shown that the family of probability distributions with moments given by
the Fuss–Catalan numbers permit a simple parameterized form for their density. We extend …

Multiple orthogonal polynomials are a generalization of orthogonal polynomials in which the
orthogonality is distributed among a number of orthogonality weights. They appear in …

We study a model of n one‐dimensional, nonintersecting Brownian motions with two
prescribed starting points at time t= 0 and two prescribed ending points at time t= 1 in a …

We consider a particle system of the squared Bessel processes with index ν>− 1 conditioned
never to collide with each other, in which if− 1< ν< 0 the origin is assumed to be reflecting …

Multiple orthogonal polynomials are polynomials of one variable that satisfy orthogonality
conditions with respect to several measures. They are a very useful extension of orthogonal …