sample of publications

• articles 

  • On the convergence of multi-level Hermite-Padé approximants.  PHYSICA D-NONLINEAR PHENOMENA.  440:1-11. 2022
  • Correction to: On the Convergence of Multi-Level Hermite-Padé Approximants for a Class of Meromorphic Functions (vol 17, 149, 2020).  Mediterranean Journal of Mathematics.  18:1-2. 2021
  • Asymptotic zero distribution for a class of extremal polynomials.  Bulletin of Mathematical Sciences.  11:1950019-1-1950019-18. 2021
  • On the convergence of multi-level Hermite-Padé approximants for a class of meromorphic functions.  Mediterranean Journal of Mathematics.  17:1-19. 2020
  • Asymptotic of cauchy biorthogonal polynomials.  Mediterranean Journal of Mathematics.  17:1-30. 2020
  • Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation.  ADVANCES IN MATHEMATICS.  349:813-838. 2019
  • Direct and inverse results for multipoint Hermite-Padé approximants.  Analysis and Mathematical Physics.  9:761-779. 2019
  • Direct and inverse results on row sequences of simultaneous Pade-Faber approximants.  Mediterranean Journal of Mathematics.  16:1-21. 2019
  • Higher order recurrences and row sequences of Hermite-Pade approximation.  JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS.  24:1830-1845. 2018
  • Determining system poles using row sequences of orthogonal Hermite-Pade approximants.  JOURNAL OF APPROXIMATION THEORY.  231:15-40. 2018
  • Riemann-Hilbert analysis for a Nikishin system.  SBORNIK MATHEMATICS.  209:1019-1050. 2018
  • High-order recurrence relations, Hermite-Pade approximation and Nikishin systems.  SBORNIK MATHEMATICS.  209:385-420. 2018
  • Nikishin systems on star-like sets: Ratio asymptotics of the associated multiple orthogonal polynomials.  JOURNAL OF APPROXIMATION THEORY.  225:1-40. 2018
  • On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials.  RUSSIAN MATHEMATICAL SURVEYS.  72:389-449. 2017
  • Inverse results on row sequences of Hermite-Padé Approximation.  Proceedings of the Steklov Institute of Mathematics.  298:152-169. 2017
  • Inverse Theorem on Row Sequences of Linear Pade-orthogonal Approximation.  Computational Methods and Function Theory.  15:529-554. 2015
  • Strong asymptotics for the Pollaczek multiple orthogonal polynomials.  DOKLADY MATHEMATICS.  92:709-713. 2015
  • Foreword to the proceedings of the OrthoQuad 2014 conference.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  284. 2015
  • On the convergence of type I Hermite-Padé approximants for rational perturbations of a Nikishin system.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  284:216-227. 2015
  • On the convergence of type I Hermite-Pade approximants.  ADVANCES IN MATHEMATICS.  273:124-148. 2015
  • Hermite-Padé approximation for certain systems of meromorphic functions.  Matematicheskii Sbornik.  206:57-76. 2015
  • Hermite-Pade approximation for certain systems of meromorphic functions.  SBORNIK MATHEMATICS.  206:225-241. 2015
  • Determining Singularities Using Row Sequences of Padé-orthogonal Approximants.  Jaen Journal on Approximation.  5:179-208. 2013
  • Direct and Inverse Results on Row Sequences of Hermite-Padé Approximation.  CONSTRUCTIVE APPROXIMATION.  38:133-160. 2013
  • In memoriam: Andrei Aleksandrovich Gonchar. November 21, 1931-October 10, 2012.  JOURNAL OF APPROXIMATION THEORY.  172:1-13. 2013
  • Incomplete Padé approximation and convergence of row sequences of Hermite-Padé approximants.  JOURNAL OF APPROXIMATION THEORY.  170:59-77. 2013
  • OPSFA'11.  JOURNAL OF APPROXIMATION THEORY.  170:1-2. 2013
  • A family of Nikishin systems with periodic recurrence coefficients.  SBORNIK MATHEMATICS.  204:43-74. 2013
  • Convergence of row sequences of simultaneous Fourier-Padé approximation.  Jaen Journal on Approximation.  4:101-120. 2012
  • Nikishin systems are perfect.  CONSTRUCTIVE APPROXIMATION.  34:297-356. 2011
  • Andrei Aleksandrovich Gonchar (on his 80th birthday).  RUSSIAN MATHEMATICAL SURVEYS.  66:1209-1216. 2011
  • Nikishin systems are perfect. The case of unbounded and touching supports.  JOURNAL OF APPROXIMATION THEORY.  163:779-811. 2011
  • Sobre un teorema de Hadamard y la fórmula de Cauchy-Hadamard.  La Gaceta de la Real Sociedad Matemática Española.  14:85-96. 2011
  • A Canonical Family of Multiple Orthogonal Polynomials for Nikishin Systems.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  372:390-401. 2010
  • Mixed Type Multiple Orthogonal Polynomials for Two Nikishin Systems.  CONSTRUCTIVE APPROXIMATION.  32:255-306. 2010
  • Computation of Conformal Representations of Compact Riemann Surfaces.  MATHEMATICS OF COMPUTATION.  79:365-381. 2010
  • Generalized Hermite-Padé Approximation for Nikishin Systems of Three Functions.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  233:1525-1533. 2010
  • Fourier-Padé Approximants for Nikishin Systems.  CONSTRUCTIVE APPROXIMATION.  30:53-69. 2009
  • Relative Asymptotic of Multiple Orthogonal Polynomials for Nikishin Systems.  JOURNAL OF APPROXIMATION THEORY.  158:214-241. 2009
  • Stieltjes-type Polynomials on the Unit Circle.  MATHEMATICS OF COMPUTATION.  78:969-997. 2009
  • Matrices, Moments, and Rational Quadrature.  LINEAR ALGEBRA AND ITS APPLICATIONS.  429:2540-2554. 2008
  • Ratio Asymptotic of Hermite-Padé Orthogonal Polynomials for Nikishin Systems. II.  ADVANCES IN MATHEMATICS.  218:1081-1106. 2008
  • Strong Asymptotics for Sobolev Orthogonal Polynomials in the Complex Plane.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  340:521-535. 2008

• book chapters 

  • On Row Sequences of Padé and Hermite-Padé Approximation. In: Modern Trends in Constructive Function Theory.  AMERICAN MATHEMATICAL SOCIETY. 2016
  • Constructive Theory of Approximation. In: Coimbra Lecture Notes on Orthogonal Polynomials.  NOVA SCIENCE PUBLISHERS INC. 101-140. 2008

• books 

  • Recent advances in orthogonal polynomials, special functions, and their applications: 11th International Symposium, August 29-September 2, 2011, Universidad Carlos III de Madrid, Leganés, Spain.  Ed. 578.  Providence, Rhode Island: AMERICAN MATHEMATICAL SOCIETY. 2012

• conference contributions 

  • Logarithmic asymptotic of multilevel Hermite-Padé polynomials 2020
  • On multilevel Hermite-Padé approximation of certain class of meromorphic functions 2020
  • Asymptotics of Cauchy biorthogonal polynomials.  43-43. 2019
  • Logarithmic asymptotic of multi-level Hermité-Padé polynomials.  493-511. 2019
  • Inverse results on row sequences of Hermite-Padé approximation.  31-31. 2017
  • Nikishin systems on star-like sets and associated multi-orthogonal polynomials 2017
  • Sobolev extremal polynomials 2017
  • On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials 2016
  • High order recurrence relation, Hermite-Padé approximation, and Nikishin systems 2015
  • On a Markov theorem for type I Hermite-Padé approximation of a Nikishin system 2015
  • On the convergence of type I Hermite&-Padé approximants for rational perturbations of a Nikishin system.  216-227. 2015
  • Convergence of type I Hermite-Padé approximants of systems of meromorphic functions.  9. 2014
  • On Row Sequences of Padé and Hermite-Padé Approximation 2014
  • Convergence of type II Hermite-Padé approximation for a class of meromorphic functions 2013
  • Direct and inverse results on the convergence of row sequences of Hermite-Padé approximation 2013
  • Multiple Orthogonality, Hermite-Padé Approximation, and Higher Order Recurrence Relations 2013
  • Direct and inverse results on the convergence of row sequences of Hermite-Padé approximation 2012
  • Direct and inverse results on the convergence of row sequences of Hermite-Padé approximation 2012
  • Hermite Padé Approximation and Asymptotics of Multiple Orthogonal Polynomials 2011
  • Fourier-Padé Approximation of Nikishin Systems 2008
  • Logarithmic Asymptotic of Mixed Type Multiple Ortogonal Polynomials of Two Nikishin Systems 2008
  • Mixed Type Orthogonal Polynomial for Two Nikishin Systems 2008
  • Mixed type Multiple Ortogonal Polynomials 2008