On perfect Nikishin systems

DOI10.1007/BF03321858zbMath1065.42020OpenAlexW2075631530MaRDI QIDQ1880911

Ulises Fidalgo Prieto, Guillermo López Lagomasino

Publication date: 27 September 2004

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321858

zbMATH Keywords

Hermite-Padé approximationNikishin systems

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Padé approximation (41A21)

Related Items (10)

On the limit behavior of recurrence coefficients for multiple orthogonal polynomials ⋮ Convergent interpolatory quadrature schemes ⋮ Hermite--Padé approximation and simultaneous quadrature formulas ⋮ Convergence and computation of simultaneous rational quadrature formulas ⋮ Ratio asymptotic of Hermite-Padé orthogonal polynomials for Nikishin systems. II ⋮ Nikishin systems are perfect ⋮ Nikishin systems are perfect. The case of unbounded and touching supports ⋮ Asymptotics of multiple orthogonal polynomials for a system of two measures supported on a starlike set ⋮ A canonical family of multiple orthogonal polynomials for Nikishin systems ⋮ Generalized Hermite-Padé approximation for Nikishin systems of three functions

Cites Work

• Normality in Nikishin systems
• Normal indices in Nikishin systems.
• ON SIMULTANEOUS PADÉ APPROXIMANTS
• ON THE CONVERGENCE OF GENERALIZED PADÉ APPROXIMANTS OF MEROMORPHIC FUNCTIONS
• HERMITE-PADÉ APPROXIMATION FOR NIKISHIN SYSTEMS OF ANALYTIC FUNCTIONS
• Hermite-Pade approximants for systems of Markov-type functions

This page was built for publication: On perfect Nikishin systems