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Mathematics
Russia
2026

D-Index & Metrics

Mathematics

D-Index
45
Citations
7837
World Ranking
1478
National Ranking
12

Alexei Zhedanov 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 Alexei Zhedanov 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: 83 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: 217 publications — 68th percentile

68% of scientists in this discipline score the same or lower.

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

Alexei Zhedanov 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 Alexei Zhedanov 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: 138 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: 45 D-Index — 61st percentile

61% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2026 - Research.com Mathematics in Russia Leader Award

Overview

Alexei Zhedanov is affiliated with the Euler International Mathematical Institute of the Russian Federation and contributes extensively to the fields of Mathematics and Physics and Astronomy. Their research spans several specialized areas, including Applied Mathematics, Algebra and Number Theory, Atomic and Molecular Physics and Optics, Statistical and Nonlinear Physics, and Computational Theory and Mathematics.

The scientist's work covers a range of advanced mathematical and physical topics. Major research themes include:

  • Mathematical functions and polynomials
  • Quantum Mechanics and Non-Hermitian Physics
  • Nonlinear Waves and Solitons
  • Advanced Mathematical Identities
  • Mathematical Analysis and Transform Methods
  • Polynomial and algebraic computation
  • Advanced Topics in Algebra

Zhedanov has published numerous papers in well-recognized venues, with a notable presence in:

  • arXiv (Cornell University)
  • Proceedings of the American Mathematical Society
  • Journal of Mathematical Analysis and Applications
  • The Ramanujan Journal
  • Journal of Mathematical Physics

Selected recent publications include:

  • "An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type," 2020, Proceedings of the American Mathematical Society
  • "Bispectrality and biorthogonality of the rational functions of q-Hahn type," 2022, Journal of Mathematical Analysis and Applications
  • "The rational Heun operator and Wilson biorthogonal functions," 2021, The Ramanujan Journal
  • "The rational Sklyanin algebra and the Wilson and para-Racah polynomials," 2022, Journal of Mathematical Physics
  • "A classical model for perfect transfer and fractional revival based on q-Racah polynomials," 2022, Physics Letters A

Collaborations are an important aspect of Zhedanov's research. Frequent coauthors include:

  • Luc Vinet
  • Satoshi Tsujimoto
  • Meri Zaimi
  • Julien Gaboriaud

Zhedanov's work often intersects algebraic structures with applications in physics, exploring operators, polynomials, and functions with analytical and physical significance. The scientist contributes to advancing understanding in both theoretical mathematical constructs and their implications for quantum and nonlinear physical systems.

Best Publications

  • A 'missing' family of classical orthogonal polynomials

    Luc Vinet;Alexei Zhedanov

  • “Hidden symmetry” of Askey-Wilson polynomials

    A. S. Zhedanov

  • Rational spectral transformations and orthogonal polynomials

    Alexei Zhedanov

  • Mutual integrability, quadratic algebras, and dynamical symmetry

    Ya.I Granovskii;I.M Lutzenko;A.S Zhedanov

  • Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux–Crum transformations

    Ryu Sasaki;Satoshi Tsujimoto;Alexei Zhedanov

  • The Dunkl oscillator in the plane I : superintegrability, separated wavefunctions and overlap coefficients

    Vincent X Genest;Mourad E H Ismail;Mourad E H Ismail;Luc Vinet;Alexei Zhedanov

  • Regular Article: Biorthogonal Rational Functions and the Generalized Eigenvalue Problem

    Alexei Zhedanov

  • Spectral Transformation Chains and Some New Biorthogonal Rational Functions

    Vyacheslav Spiridonov;Alexei Zhedanov

  • Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey-Wilson polynomials

    Vyacheslav Spiridonov;Alexei Zhedanov

  • Dunkl shift operators and Bannai–Ito polynomials

    Satoshi Tsujimoto;Luc Vinet;Alexei Zhedanov

  • Quadratic algebra as a 'hidden' symmetry of the Hartmann potential

    Y I Granovskii;A S Zhedanov;I M Lutzenko

  • The Dunkl Oscillator in the Plane II: Representations of the Symmetry Algebra

    Vincent X. Genest;Mourad E. H. Ismail;Mourad E. H. Ismail;Luc Vinet;Alexei Zhedanov

  • Nature of the symmetry group of the 6j-symbol

    Ya. A. Granovskii;A. S. Zhedanov

  • How to construct spin chains with perfect state transfer

    Luc Vinet;Alexei Zhedanov

  • Superintegrability in Two Dimensions and the Racah–Wilson Algebra

    Vincent X. Genest;Luc Vinet;Alexei Zhedanov

  • Linear covariance algebra for SLq(2)

    Ya I Granovskii;A S Zhedanov

  • Hidden symmetry algebra and overlap coefficients for two ring-shaped potentials

    A S Zhedanov

  • A LIMIT q = −1 FOR THE BIG Q-JACOBI POLYNOMIALS

    Luc Vinet;Alexei Zhedanov

  • A method of constructing Krall's polynomials

    Alexei Zhedanov

  • The Bannai-Ito polynomials as Racah coefficients of the sl_{-1}(2) algebra

    Vincent X. Genest;Luc Vinet;Alexei Zhedanov

Frequent Co-Authors

Luc Vinet
Luc Vinet University of Montreal
Vyacheslav P. Spiridonov
Vyacheslav P. Spiridonov Joint Institute for Nuclear Research
Mourad E. H. Ismail
Mourad E. H. Ismail University of Louisiana at Lafayette
A. D. Mironov
A. D. Mironov P.N. Lebedev Physical Institute of the Russian Academy of Sciences
Matthias Christandl
Matthias Christandl University of Copenhagen
John Harnad
John Harnad University of Montreal
Ryu Sasaki
Ryu Sasaki Tokyo University of Science
F. Alberto Grünbaum
F. Alberto Grünbaum University of California, Berkeley

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