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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

Andrei Martínez-Finkelshtein publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Andrei Martínez-Finkelshtein sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 82 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 159 publications — 43rd percentile

43% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Andrei Martínez-Finkelshtein D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Andrei Martínez-Finkelshtein sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 137 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 30 D-Index — 5th percentile

5% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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