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Andrei Martínez-Finkelshtein

Andrei Martínez-Finkelshtein

D-Index & Metrics

Mathematics

D-Index
30
Citations
2545
World Ranking
3578
National Ranking
1383

Overview

Andrei Martínez-Finkelshtein is affiliated with Baylor University in the United States and is an active researcher in the field of mathematics. Their work spans multiple subfields, including Applied Mathematics, Numerical Analysis, Computational Theory and Mathematics, Statistical and Nonlinear Physics, and Geometry and Topology.

The main topics covered by their research include:

  • Mathematical functions and polynomials
  • Matrix Theory and Algorithms
  • Iterative Methods for Nonlinear Equations
  • Numerical methods for differential equations
  • Quantum Mechanics and Non-Hermitian Physics
  • Nonlinear Waves and Solitons
  • Advanced Numerical Analysis Techniques

Frequently appearing coauthors in Martínez-Finkelshtein's publications are:

  • R. Morales
  • Daniel Perales
  • Markus Hunziker
  • Taylor Poe
  • Brian Simanek

Their recent publications include:

  • "Electrostatic Partners and Zeros of Orthogonal and Multiple Orthogonal Polynomials," 2022, Constructive Approximation
  • "Complementary Romanovski-Routh Polynomials, Orthogonal Polynomials on the Unit Circle, and Extended Coulomb Wave Functions," 2020, Results in Mathematics
  • "Real Roots of Hypergeometric Polynomials via Finite Free Convolution," 2024, International Mathematics Research Notices
  • "Zeros of Generalized Hypergeometric Polynomials via Finite Free Convolution: Applications to Multiple Orthogonality," 2025, Constructive Approximation

One notable interdisciplinary paper coauthored that relates projective geometry, matrices, and orthogonal polynomials is:

  • "Poncelet-Darboux, Kippenhahn, and Szegő: Interactions between projective geometry, matrices and orthogonal polynomials," 2022, Journal of Mathematical Analysis and Applications

Martínez-Finkelshtein's work has appeared prominently in publication venues such as:

  • arXiv (Cornell University)
  • Constructive Approximation
  • Results in Mathematics
  • International Mathematics Research Notices
  • Journal of Mathematical Analysis and Applications

They are also an author of a book published by Springer Nature titled "From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory" (2021).

Best Publications

  • Quantum information entropies and orthogonal polynomials

    Jesús S. Dehesa;Andrei Martínez-Finkelshtein;Andrei Martínez-Finkelshtein;Jorge Sánchez-Ruiz;Jorge Sánchez-Ruiz

  • Information-theoretic measures for Morse and Pöschl-Teller potentials

    J. S. Dehesa;A. Martínez-Finkelshtein;V. N. Sorokin

  • Non-Intersecting Squared Bessel Paths and Multiple Orthogonal Polynomials for Modified Bessel Weights

    A. B. J. Kuijlaars;Andrei Martínez-Finkelshtein;F. Wielonsky

  • Critical Measures, Quadratic Differentials, and Weak Limits of Zeros of Stieltjes Polynomials

    Andrei Martínez-Finkelshtein;Evgenii A. Rakhmanov

  • Information theory of D-dimensional hydrogenic systems: Application to circular and Rydberg states

    J. S. Dehesa;S. López-Rosa;A. Martínez-Finkelshtein;A. Martínez-Finkelshtein;R. J. Yáñez

  • Asymptotics for Minimal Discrete Riesz Energy on Curves in R^d

    A. Martínez-Finkelshtein;V. Maymeskul;E. A. Rakhmanov;E. B. Saff

  • Strong asymptotics for Jacobi polynomials with varying nonstandard parameters.

    A. B. J. Kuijlaars;Andrei Martínez-Finkelshtein

  • Orthogonality of Jacobi polynomials with general parameters

    Arno Kuijlaars;Andrei Martinez-Finkelshtein;Ramon Orive

  • Padé approximants, continued fractions, and orthogonal polynomials

    Alexander I Aptekarev;Viktor I Buslaev;Andrei Martínez-Finkelshtein;Sergey P Suetin

  • Electrostatic models for zeros of polynomials: Old, new, and some open problems

    F. Marcellán;A. Martínez-Finkelshtein;P. Martínez-González

  • Analytic aspects of Sobolev orthogonal polynomials revisited

    A. Martínez-Finkelshtein

  • Szego Orthogonal Polynomials with Respect to an Analytic Weight: Canonical Representation and Strong Asymptotics

    Andrei Martínez-Finkelshtein;K. T.-R. McLaughlin;E. B. Saff

  • Bernstein—Szegő's Theorem for Sobolev Orthogonal Polynomials

    A. Martinez-Finkelshtein

  • General linearization formulae for products of continuous hypergeometric-type polynomials

    J Sánchez-Ruiz;J Sánchez-Ruiz;P L Artés;A Martínez-Finkelshtein;A Martínez-Finkelshtein;J S Dehesa

  • Riemann-Hilbert analysis for Jacobi polynomials orthogonal on a single contour

    A. Martínez-Finkelshtein;R. Orive

  • Asymptotics of orthogonal polynomial's entropy

    A. I. Aptekarev;J. S. Dehesa;A. Martinez-Finkelshtein

  • On asymptotic zero distribution of Laguerre and generalized Bessel polynomials with varying parameters

    Andrei Martínez-Finkelshtein;Andrei Martínez-Finkelshtein;Pedro Martínez-González;Ramón Orive

  • Non-Intersecting Squared Bessel Paths: Critical Time and Double Scaling Limit

    Arno Kuijlaars;Andrei Martinez-Finkelshtein;Franck Wielonsky

  • Computation of the Entropy of Polynomials Orthogonal on an Interval

    V. Buyarov;J. S. Dehesa

  • Information entropy of Gegenbauer polynomials

    V S Buyarov;P López-Artés;A Martínez-Finkelshtein;W Van Assche

  • Asymptotics of the Information Entropy for Jacobi and Laguerre Polynomials with Varying Weights

    V.S. Buyarov;J.S. Dehesa;A. Martínez-Finkelshtein;E.B. Saff

  • Asymptotic Properties of Heine-Stieltjes and Van Vleck Polynomials

    A. Martínez-Finkelshtein;E. B. Saff

  • Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle

    A. Martínez-Finkelshtein;K. T.-R. McLaughlin;E. B. Saff

  • Asymptotics of Orthogonal Polynomials for a Weight with a Jump on [−1,1]

    A. Foulquié Moreno;Andrei Martínez-Finkelshtein;V. L. Sousa

  • Szeg\H{o} orthogonal polynomials with respect to an analytic weight: canonical representation and strong asymptotics

    A. Martinez-Finkelshtein;K. T.-R. McLaughlin;E. B. Saff

Frequent Co-Authors

Jesús S. Dehesa
Jesús S. Dehesa University of Granada
Alexander Ivanovich Aptekarev
Alexander Ivanovich Aptekarev Keldysh Institute of Applied Mathematics
Jorge L. Alió
Jorge L. Alió Miguel Hernandez University
Edward B. Saff
Edward B. Saff Vanderbilt University
Francisco Marcellán
Francisco Marcellán Carlos III University of Madrid
Barry Simon
Barry Simon California Institute of Technology
Jeffrey S. Geronimo
Jeffrey S. Geronimo Georgia Institute of Technology
F. Alberto Grünbaum
F. Alberto Grünbaum University of California, Berkeley

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