Andrei Martı́nez-Finkelshtein

2.4k total citations
88 papers, 1.5k citations indexed

About

Andrei Martı́nez-Finkelshtein is a scholar working on Applied Mathematics, Atomic and Molecular Physics, and Optics and Numerical Analysis. According to data from OpenAlex, Andrei Martı́nez-Finkelshtein has authored 88 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 65 papers in Applied Mathematics, 27 papers in Atomic and Molecular Physics, and Optics and 20 papers in Numerical Analysis. Recurrent topics in Andrei Martı́nez-Finkelshtein's work include Mathematical functions and polynomials (61 papers), Quantum Mechanics and Non-Hermitian Physics (22 papers) and Mathematical Approximation and Integration (12 papers). Andrei Martı́nez-Finkelshtein is often cited by papers focused on Mathematical functions and polynomials (61 papers), Quantum Mechanics and Non-Hermitian Physics (22 papers) and Mathematical Approximation and Integration (12 papers). Andrei Martı́nez-Finkelshtein collaborates with scholars based in Spain, United States and Russia. Andrei Martı́nez-Finkelshtein's co-authors include J. S. Dehesa, Sergey Pavlovich Suetin, В. Н. Сорокин, Евгений Андреевич Рахманов, Edward B. Saff, Alexander Ivanovich Aptekarev, Evguenii Andreevich Rakhmanov, R. Orive, Виктор Иванович Буслаев and Juan J. Moreno–Balcázar and has published in prestigious journals such as Physical Review A, Mathematics of Computation and Communications in Mathematical Physics.

In The Last Decade

Andrei Martı́nez-Finkelshtein

86 papers receiving 1.3k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Andrei Martı́nez-Finkelshtein Spain 24 934 531 463 244 189 88 1.5k
Alexander Ivanovich Aptekarev Russia 29 1.6k 1.7× 489 0.9× 599 1.3× 362 1.5× 394 2.1× 127 2.1k
A. Ronveaux Belgium 22 1.1k 1.2× 507 1.0× 536 1.2× 310 1.3× 108 0.6× 115 1.5k
Natig M. Atakishiyev Mexico 17 577 0.6× 447 0.8× 402 0.9× 49 0.2× 104 0.6× 100 1.0k
Evguenii Andreevich Rakhmanov United States 15 603 0.6× 135 0.3× 141 0.3× 230 0.9× 145 0.8× 27 907
Pavel Bleher United States 25 505 0.5× 197 0.4× 538 1.2× 70 0.3× 928 4.9× 70 1.9k
Peter Lesky Germany 9 498 0.5× 265 0.5× 291 0.6× 81 0.3× 114 0.6× 23 869
Ovidiu Costin United States 17 279 0.3× 163 0.3× 352 0.8× 99 0.4× 353 1.9× 81 997
José L. López Spain 14 397 0.4× 136 0.3× 194 0.4× 220 0.9× 62 0.3× 122 851
Nasser Saad Canada 23 312 0.3× 1.2k 2.3× 902 1.9× 115 0.5× 113 0.6× 73 1.7k

Countries citing papers authored by Andrei Martı́nez-Finkelshtein

Since Specialization
Citations

This map shows the geographic impact of Andrei Martı́nez-Finkelshtein's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Andrei Martı́nez-Finkelshtein with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Andrei Martı́nez-Finkelshtein more than expected).

Fields of papers citing papers by Andrei Martı́nez-Finkelshtein

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Andrei Martı́nez-Finkelshtein. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Andrei Martı́nez-Finkelshtein. The network helps show where Andrei Martı́nez-Finkelshtein may publish in the future.

Co-authorship network of co-authors of Andrei Martı́nez-Finkelshtein

This figure shows the co-authorship network connecting the top 25 collaborators of Andrei Martı́nez-Finkelshtein. A scholar is included among the top collaborators of Andrei Martı́nez-Finkelshtein based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Andrei Martı́nez-Finkelshtein. Andrei Martı́nez-Finkelshtein is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Martı́nez-Finkelshtein, Andrei, et al.. (2025). Zeros of Generalized Hypergeometric Polynomials via Finite Free Convolution: Applications to Multiple Orthogonality. Constructive Approximation. 63(1). 153–222. 2 indexed citations
2.
Hunziker, Markus, et al.. (2022). Poncelet–Darboux, Kippenhahn, and Szegő: Interactions between projective geometry, matrices and orthogonal polynomials. Journal of Mathematical Analysis and Applications. 511(1). 126049–126049. 3 indexed citations
3.
Martı́nez-Finkelshtein, Andrei, et al.. (2018). Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions. Proceedings of the American Mathematical Society. 147(6). 2625–2640. 5 indexed citations
4.
Martı́nez-Finkelshtein, Andrei, et al.. (2016). Critical measures for vector energy: Global structure of trajectories of quadratic differentials. Advances in Mathematics. 302. 1137–1232. 7 indexed citations
5.
Martı́nez-Finkelshtein, Andrei, Evguenii Andreevich Rakhmanov, & Sergey Pavlovich Suetin. (2011). Variation of the equilibrium energy and the S -property of stationary compact sets. Sbornik Mathematics. 202(12). 1831–1852. 29 indexed citations
6.
Martı́nez-Finkelshtein, Andrei, Evguenii Andreevich Rakhmanov, & Sergey Pavlovich Suetin. (2011). Variation of the equilibrium measure and the S -property of a stationary compact set. Russian Mathematical Surveys. 66(1). 176–178. 12 indexed citations
7.
Martı́nez-Finkelshtein, Andrei & Евгений Андреевич Рахманов. (2011). Critical Measures, Quadratic Differentials, and Weak Limits of Zeros of Stieltjes Polynomials. Communications in Mathematical Physics. 302(1). 53–111. 59 indexed citations
8.
Martı́nez-Finkelshtein, Andrei, et al.. (2011). Placido-Based Indices of Corneal Irregularity. Optometry and Vision Science. 88(10). 1220–1231. 16 indexed citations
9.
Martı́nez-Finkelshtein, Andrei, et al.. (2010). A New Efficient Method of Corneal Reconstruction as an Alternative to Zernike Polynomials Fit. Investigative Ophthalmology & Visual Science. 51(13). 5690–5690.
10.
Martı́nez-Finkelshtein, Andrei. (2008). Book Reviews. Journal of Approximation Theory. 156(1). 95–115. 1 indexed citations
11.
Driver, K., Kerstin Jordaan, & Andrei Martı́nez-Finkelshtein. (2006). Pólya frequency sequences and real zeros of some F 2 3 polynomials. Journal of Mathematical Analysis and Applications. 332(2). 1045–1055. 12 indexed citations
12.
Martı́nez-Finkelshtein, Andrei & R. Orive. (2005). Riemann–Hilbert analysis for Jacobi polynomials orthogonal on a single contour. Journal of Approximation Theory. 134(2). 137–170. 27 indexed citations
13.
Martı́nez-Finkelshtein, Andrei, et al.. (2005). Asymptotics of polynomial solutions of a class of generalized Lamé differential equations. Institutional Repository of the University of Granada (University of Granada). 19. 18–28. 8 indexed citations
14.
Geronimo, Jeffrey S. & Andrei Martı́nez-Finkelshtein. (2005). On extensions of a theorem of Baxter. Journal of Approximation Theory. 139(1-2). 214–222. 1 indexed citations
15.
Martı́nez-Finkelshtein, Andrei, et al.. (2004). Asymptotics for Minimal Discrete Riesz Energy on Curves in ℝd. Canadian Journal of Mathematics. 56(3). 529–552. 29 indexed citations
16.
Dehesa, J. S., Andrei Martı́nez-Finkelshtein, & В. Н. Сорокин. (2002). Asymptotics of information entropies of some Toda-like potentials. Journal of Mathematical Physics. 44(1). 36–47. 9 indexed citations
17.
Dehesa, J. S., et al.. (1999). Asymptotics of the Information Entropy for Jacobi and Laguerre Polynomials with Varying Weights. Journal of Approximation Theory. 99(1). 153–166. 34 indexed citations
18.
Martı́nez-Finkelshtein, Andrei, et al.. (1999). Strong asymptotics for Sobolev orthogonal polynomials. Journal d Analyse Mathématique. 78(1). 143–156. 10 indexed citations
19.
Alfaro, Manuel, Andrei Martı́nez-Finkelshtein, & M.L. Rezola. (1999). Asymptotic Properties of Balanced Extremal Sobolev Polynomials: Coherent Case. Journal of Approximation Theory. 100(1). 44–59. 8 indexed citations
20.
Marcellán, Francisco, Andrei Martı́nez-Finkelshtein, & Juan J. Moreno–Balcázar. (1997). Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support. Journal of Computational and Applied Mathematics. 81(2). 217–227. 14 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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