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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 …

Let f be a germ of an analytic function at infinity that can be analytically continued along any
path in the complex plane deprived of a finite set of points, f∈ A (C¯\A),# A<∞. J. Nuttall has …

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 …

АИАптекарев, ВИБуслаев, А. Мартинес-Финкельштейн, СПСуетин, “Аппроксимации
Паде, непрерывные дроби и ортогональные многочлены”, УМН, 66:6(402) (2011), 37–122; …

Abstract We use the Riemann–Hilbert approach, together with string and Toda equations, to
study the topological expansion in the quartic random matrix model. The coefficients of the …

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 …

We give an exhaustive characterization of the complex saddle point configurations of the
Gross-Witten-Wadia matrix model in the large-N limit. In particular, we characterize the …

For an interval E=[a, b] on the real line, let μ be either the equilibrium measure, or the
normalized Lebesgue measure of E, and let V μ denote the associated logarithmic potential …