9 citations · 30 across the 15 of their papers we have counts for
17 papers
Strong asymptotic of Cauchy biorthogonal polynomials and orthogonal polynomials with varying measure
L. G. González Ricardo, G. López Lagomasino
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 sa…
Logarithmic asymptotic of multi-level Hermite-Padé polynomials
L. G. González Ricardo, G. López Lagomasino, S. Medina Peralta
We study the logarihtnmic asymptotic of multiple orthogonal polynomials arising in a mixed type Hermite-Padé approximation problem associated with the rational perturbation of a Ni…
An introduction to multiple orthogonal polynomials and Hermite-Padé approximation
G. López Lagomasino
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 typ…
Direct and Inverse Results for Multipoint Hermite-Pade Approximants
N. Bosuwan, G. Lopez Lagomasino, Y. Zaldivar Gerpe
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 conve…
Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation
G. López Lagomasino, S. Medina Peralta, J. Szmigielski
In this work we present new results on the convergence of diagonal sequences of certain mixed type Hermite-Padé approximants of a Nikishin system. The study is motivated by a mixed…
Direct and inverse results on row sequences of simultaneous Padé-Faber approximants
N. Bosuwan, G. López Lagomasino
Given a vector function analytic on a neighborhood of some compact subset of the complex plane with simply connected complement, we define a sequenc…
High order recurrence relation, Hermite-Padé approximation, and Nikishin systems
D. Barrios Rolanía, J. S. Geronimo, G. López Lagomasino
The study of sequences of polynomials satisfying high order recurrence relations is connected with the asymptotic behavior of multiple orthogonal polynomials, the convergence prope…
On row sequences of Padé and Hermite-Padé approximation
Guillermo López Lagomasino
A survey of direct and inverse type results for row sequences of Padé and Hermite-Padé approximation is given. A conjecture is posed on an inverse type result for type II Hermite-P…
On the convergence of type I Hermite-Padé approximants for a class of meromorphic functions
G. López Lagomasino, S. Medina Peralta
We study the convergence of type I Hermite-Padé approximation for a class of meromorphic functions obtained by adding a vector of rational functions with real coefficients to a Nik…
On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials
A. I. Aptekarev, G. López Lagomasino, A. Mártinez-Finkelshtein
We consider multiple orthogonal polynomials with respect to Nikishin systems generated by two measures with unbounded supports ($\mbox{supp} \, σ_1 \subseteq \mathbb{R…
Hermite-Padé approximation for certain systems of meromorphic functions
U. Fidalgo Prieto, G. López Lagomasino, S. Medina Peralta
We study the convergence of sequences of type I and type II Hermite-Padé approximants for certain systems of meromorphic functions made up of rational modifications of Nikishin sys…
On the convergence of type I Hermite-Padé approximants
G. López Lagomasino, S. Medina Peralta
Padé approximation has two natural extensions to vector rational approximation through the so called type I and type II Hermite-Padé approximants. The convergence properties of typ…
Determining Singularities Using Row Sequences of Padé-orthogonal Approximants
N. Bosuwan, G. López Lagomasino, E. B. Saff
Starting from the orthogonal polynomial expansion of a function corresponding to a finite positive Borel measure with infinite compact support, we study the asymptotic behavior…
Direct and inverse results on row sequences of Hermite-Padé approximants
J. Cacoq, B. de la Calle Ysern, G. López Lagomasino
We give necessary and sufficient conditions for the convergence with geometric rate of the common denominators of simultaneous rational interpolants with a bounded number of poles.…
Convergence of row sequences of simultaneous Fourier-Padé approximation
J. Cacoq, G. López Lagomasino
We consider row sequences of simultaneous rational approximations constructed in terms of Fourier expansions and prove a Montessus de Ballore type theorem.
Incomplete Padé approximation and convergence of row sequences of Hermite-Padé approximants
J. Cacoq, B. de la Calle Ysern, G. López Lagomasino
We give a Montessus de Ballore type theorem for row sequences of Hermite-Padé approximations of vector valued analytic functions refining some results in this direction due to P.R.…
Ratio Asymptotic of Hermite-Padé Orthogonal Polynomials for Nikishin Systems. II
Abey López García, Guillermo López Lagomasino
We prove ratio asymptotic for sequences of multiple orthogonal polynomials with respect to a Nikishin system of measures such that for each , the su…