Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Lagomasino, G. López"'
We obtain the strong asymptotics of multiple orthogonal polynomials which arise in a mixed type Hermite-Pad\'e approximation problem defined on a Nikishin system of functions. The results obtained allow to give exact estimates of the rate of converge
Externí odkaz:
http://arxiv.org/abs/2207.08308
In the present paper we prove a Stieltjes type theorem on the convergence of a sequence of rational functions associated with a mixed type Hermite-Pad\'e approximation problem of a Nikishin system of functions and analyze the ratio asymptotic of the
Externí odkaz:
http://arxiv.org/abs/2106.11370
Strong asymptotic of Cauchy biorthogonal polynomials and orthogonal polynomials with varying measure
We give the strong asymptotic of Cauchy biorthogonal polynomials under the assumption that the defining measures are supported on non intersecting intervals of the real line and satisfy Szeg\H{o}'s condition. The biorthogonal polynomials are connecte
Externí odkaz:
http://arxiv.org/abs/2102.03678
We study the logarihtnmic asymptotic of multiple orthogonal polynomials arising in a mixed type Hermite-Pad\'e approximation problem associated with the rational perturbation of a Nikishin system of functions. The formulas obtained allow to give exac
Externí odkaz:
http://arxiv.org/abs/2002.06194
The present paper deals with the convergence properties of multi-level Hermite-Pad\'e approximants for a class of meromorphic functions given by rational perturbations with real coefficients of a Nikishin system of functions, and study the zero locat
Externí odkaz:
http://arxiv.org/abs/2001.08276
Autor:
Lagomasino, G. López
We present a brief introduction to the theory of multiple orthogonal polynomials on the basis of known results for an important class of measures known as Nikishin systems. For type I and type II multiple orthogonal polynomials with respect to such s
Externí odkaz:
http://arxiv.org/abs/1910.08548
We consider sequences of biorthogonal polynomials with respect to a Cauchy type convolution kernel and give the weak and ratio asymptotic of the corresponding sequences of biorthogonal polynomials. The construction is intimately related with a mixed
Externí odkaz:
http://arxiv.org/abs/1904.00126
Given a system of functions f = (f1, . . . , fd) analytic on a neighborhood of some compact subset E of the complex plane, we give necessary and sufficient conditions for the convergence with geometric rate of the common denominators of multipoint He
Externí odkaz:
http://arxiv.org/abs/1810.07061
In this work we present new results on the convergence of diagonal sequences of certain mixed type Hermite-Pad\'e approximants of a Nikishin system. The study is motivated by a mixed Hermite-Pad\'e approximation scheme used in the construction of sol
Externí odkaz:
http://arxiv.org/abs/1805.02195
Autor:
Bosuwan, N., Lagomasino, G. López
Given a vector function ${\bf F}=(F_1,\ldots,F_d),$ analytic on a neighborhood of some compact subset $E$ of the complex plane with simply connected complement, we define a sequence of vector rational functions with common denominator in terms of the
Externí odkaz:
http://arxiv.org/abs/1801.03004