The theory and applications of fractional calculus (FC) had a considerable progress during
the last years. Dynamical systems and control are one of the most active areas, and several …

Распределение нулей полиномов Паде и аналитическое продолжение Page 1 2015 г.
сентябрь — октябрь т. 70, вып. 5(425) УСПЕХИ МАТЕМАТИЧЕСКИХ НАУК УДК 517.53 …

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 …

We study a model of n non-intersecting squared Bessel processes in the confluent case: all
paths start at time t= 0 at the same positive value x= a, remain positive, and are conditioned …

Abstract The paper considers Hermite-Padé approximants to systems of Markov functions
defined by means of directed graphs. The minimization problem for the energy functional is …

Curves in the complex plane that satisfy the S-property were first introduced by Stahl and
they were further studied by Gonchar and Rakhmanov in the 1980s. Rakhmanov recently …

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

Системы марковских функций, генерируемые графами, и асимптотика их ап Page 1 2010
МАТЕМАТИЧЕСКИЙ СБОРНИК Том 201, № 2 УДК 517.53 АИАптекарев, ВГЛысов Системы …

The problem of analytic continuation of a multivalued analytic function with finitely many
branch points on the Riemann sphere is discussed. The focus is on Padé approximants …