Riemann-Hilbert analysis for a Nikishin system
From MaRDI portal
Publication:4684231
DOI10.1070/SM8889zbMath1398.30024arXiv1612.07108OpenAlexW2562811653MaRDI QIDQ4684231
Walter Van Assche, Guillermo López Lagomasino
Publication date: 27 September 2018
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.07108
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation in the complex plane (30E10) Padé approximation (41A21) Boundary value problems in the complex plane (30E25)
Related Items
Electrostatic partners and zeros of orthogonal and multiple orthogonal polynomials ⋮ Scalar equilibrium problem and the limit distribution of zeros of Hermite-Padé polynomials of type II ⋮ Hermite–Padé polynomials and Shafer quadratic approximations for multivalued analytic functions ⋮ Mixed type Hermite-Padé approximants for a Nikishin system ⋮ On an example of the Nikishin system ⋮ Direct and inverse problems for vector logarithmic potentials with external fields ⋮ Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials. II ⋮ On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system ⋮ Existence of a three-sheeted Nutall surface for a certain class of infinite-valued analytic functions ⋮ Equivalence of a scalar and a vector equilibrium problem for a pair of functions forming a Nikishin system
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nikishin systems are perfect
- Large \(n\) limit of Gaussian random matrices with external source. I
- Ratio asymptotic of Hermite-Padé orthogonal polynomials for Nikishin systems. II
- Strong asymptotics for multiple Laguerre polynomials
- Riemann-Hilbert problem associated with Angelesco systems
- Normality in Nikishin systems
- The Riemann--Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- On the limit behavior of recurrence coefficients for multiple orthogonal polynomials
- Large \(n\) limit of Gaussian random matrices with external source. II
- Convergence of Shafer quadratic approximants
- Strong Asymptotics of Hermite-Padé Approximants for Angelesco Systems
- Double Scaling Limit for Modified Jacobi-Angelesco Polynomials
- Hermite-Padé Approximants for a Pair of Cauchy Transforms with Overlapping Symmetric Supports
- Critical Edge Behavior in Unitary Random Matrix Ensembles and the Thirty-Fourth Painlevé Transcendent
- Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants
- Computation of conformal representations of compact Riemann surfaces
- ON SIMULTANEOUS PADÉ APPROXIMANTS
- A steepest descent method for oscillatory Riemann-Hilbert problems
- HERMITE-PADÉ APPROXIMATION FOR NIKISHIN SYSTEMS OF ANALYTIC FUNCTIONS
- Hermite-Pade approximants for systems of Markov-type functions
- Orthogonal Polynomials and Painlevé Equations
- Hermite-Padé approximants for meromorphic functions on a compact Riemann surface
- Strong asymptotics of multiply orthogonal polynomials for Nikishin systems
- Convergence of ray sequences of Frobenius-Padé approximants
- The distribution of the zeros of the Hermite-Padé polynomials for a pair of functions forming a Nikishin system
- RIEMANN-HILBERT PROBLEM FOR A GENERALIZED NIKISHIN SYSTEM
- Strong asymptotics of the Hermite-Padé approximants for a system of Stieltjes functions with Laguerre weight
- Ratio asymptotics of Hermite-Padé polynomials for Nikishin systems
- Mixed type multiple orthogonal polynomials for two Nikishin systems
This page was built for publication: Riemann-Hilbert analysis for a Nikishin system
