Hermite-Padé approximants for meromorphic functions on a compact Riemann surface

DOI10.1070/RM9786zbMath1387.30066MaRDI QIDQ4603048

R. V. Palvelev, Sergey P. Suetin, Evgeni M. Chirka, Aleksandr V. Komlov

Publication date: 14 February 2018

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

distribution of zerosmeromorphic functionsHermite-Padé polynomialsRiemann susrfaces

Mathematics Subject Classification ID

Padé approximation (41A21) Riemann surfaces (30F99)

Related Items (16)

Polynomial Hermite Padé m-System and Reconstruction of the Values of Algebraic Functions ⋮ Two examples related to properties of discrete measures ⋮ Scalar equilibrium problem and the limit distribution of zeros of Hermite-Padé polynomials of type II ⋮ Evgenii Mikhailovich Chirka ⋮ 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 ⋮ Riemann-Hilbert analysis for a Nikishin system ⋮ On expanding neighborhoods of local universality of Gaussian unitary ensembles ⋮ Hermite-Padé approximants of the Mittag-Leffler functions ⋮ On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system ⋮ Potentials on a compact Riemann surface ⋮ Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials ⋮ Existence of a three-sheeted Nutall surface for a certain class of infinite-valued analytic functions ⋮ The polynomial Hermite-Padé -system for meromorphic functions on a compact Riemann surface ⋮ Asymptotic behaviour of the information entropy of hydrogen-like quantum systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Period, index and potential \(\text Ш\)
• Asymptotics of Hermite-Padé approximants for two functions with branch points
• Asymptotics of diagonal Hermite-Padé polynomials
• Convergence of Shafer quadratic approximants
• Nuttall's integral equation and Bernshtein's asymptotic formula for a complex weight
• Hermite-Padé Approximants for a Pair of Cauchy Transforms with Overlapping Symmetric Supports
• Nuttall's Abelian integral on the Riemann surface of the cube root of a polynomial of degree 3
• Stone Duality for Nominal Boolean Algebras with И
• The Brauer-Manin Obstruction and III[2]
• Asymptotics of Hermite-Pade Rational Approximants for Two Analytic Functions with Separated Pairs of Branch Points (Case of Genus 0)
• EQUILIBRIUM DISTRIBUTIONS AND DEGREE OF RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
• Hermite-Pade approximants for systems of Markov-type functions
• Hermite-Padé approximation for certain systems of meromorphic functions
• The distribution of the zeros of the Hermite-Padé polynomials for a pair of functions forming a Nikishin system

This page was built for publication: Hermite-Padé approximants for meromorphic functions on a compact Riemann surface