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Satoru Odake

Satoru Odake

D-Index & Metrics

Mathematics

D-Index
45
Citations
7290
World Ranking
1495
National Ranking
22

Satoru Odake 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 Satoru Odake 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: 142 publications — 34th percentile

34% of scientists in this discipline score the same or lower.

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

Satoru Odake 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 Satoru Odake 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.

Overview

Satoru Odake is a researcher affiliated with Shinshu University in Japan. Their work spans the fields of Physics and Astronomy as well as Mathematics, with a focus on various specialized subfields.

The main subfields of their research include:

  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics
  • Applied Mathematics
  • Computational Theory and Mathematics
  • Geometry and Topology

The topics frequently explored in Odake's research cover:

  • Quantum Mechanics and Non-Hermitian Physics
  • Mathematical functions and polynomials
  • Nonlinear Waves and Solitons
  • Quantum chaos and dynamical systems
  • Matrix Theory and Algorithms
  • Algebraic structures and combinatorial models
  • Numerical methods for differential equations

Among Odake's recent publications are:

  • "Markov chains generated by convolutions of orthogonality measures," 2022, Journal of Physics A Mathematical and Theoretical
  • "Type II multi-indexed little q-Jacobi and little q-Laguerre polynomials," 2025, Journal of Mathematical Physics
  • "New finite-type multi-indexed orthogonal polynomials obtained from state-adding Darboux transformations," 2023, Progress of Theoretical and Experimental Physics
  • "'Diophantine' and factorization properties of finite orthogonal polynomials in the Askey scheme," 2024, The Journal of Difference Equations and Applications

Frequent co-authors collaborating with Odake include:

  • Ryu Sasaki
  • Paul A. Johnson
  • Kyaw Soe Moe
  • S.Y. Persaud
  • N.M. Kazuchits

Odake publishes regularly in journals such as:

  • arXiv (Cornell University)
  • Journal of Mathematical Physics
  • Progress of Theoretical and Experimental Physics
  • Journal of Physics A Mathematical and Theoretical
  • Diamond and Related Materials

Best Publications

  • A Quantum deformation of the Virasoro algebra and the Macdonald symmetric functions

    Jun'Ichi Shiraishi;Harunobu Kubo;Hidetoshi Awata;Satoru Odake

  • Infinitely many shape invariant potentials and new orthogonal polynomials

    Satoru Odake;Ryu Sasaki

  • Quantum 401-1401-1401-1algebras and Macdonald polynomials

    H. Awata;H. Kubo;S. Odake;J. Shiraishi

  • Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials

    Satoru Odake;Ryu Sasaki

  • Quasi-Hopf twistors for elliptic quantum groups

    M. Jimbo;H. Konno;S. Odake;J. Shiraishi

  • Another set of infinitely many exceptional (X_{ll}) Laguerre polynomials

    Satoru Odake;Ryu Sasaki

  • Collective field theory, Calogero-Sutherland model and generalized matrix models

    H. Awata;Y. Matsuo;S. Odake;J. Shiraishi

  • Collective fields, Calogero-Sutherland model and generalized matrix models

    H. Awata;Y. Matsuo;S. Odake;J. Shiraishi

  • Quantum $W_N$ Algebras and Macdonald Polynomials

    H. Awata;H. Kubo;S. Odake;J. Shiraishi

  • Excited states of the Calogero-Sutherland model and singular vectors of the WN algebra

    Hidetoshi Awata;Yutaka Matsuo;Satoru Odake;Jun'ichi Shiraishi

  • Excited States of Calogero-Sutherland Model and Singular Vectors of the $W_N$ Algebra

    H. Awata;Y. Matsuo;S. Odake;J. Shiraishi

  • EXTENSION OF N = 2 SUPERCONFORMAL ALGEBRA AND CALABI-YAU COMPACTIFICATION

    Satoru Odake

  • Orthogonal Polynomials from Hermitian Matrices

    Satoru Odake;Ryu Sasaki

  • Infinitely many shape-invariant potentials and cubic identities of the Laguerre and Jacobi polynomials

    Satoru Odake;Ryu Sasaki

  • Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey–Wilson polynomials

    Satoru Odake;Ryu Sasaki

  • Representation Theory of the W1+∞ Algebra

    Hidetoshi Awata;Masafumi Fukuma;Yutaka Matsuo;Satoru Odake

  • Unified theory of annihilation-creation operators for solvable ('discrete') quantum mechanics

    Satoru Odake;Ryu Sasaki

  • Discrete quantum mechanics

    Satoru Odake;Ryu Sasaki

  • Properties of the Exceptional (X-l) Laguerre and Jacobi Polynomial

    Choon Lin Ho;Satoru Odake;Ryu Sasaki

  • Exactly Solvable 'Discrete' Quantum Mechanics; Shape Invariance, Heisenberg Solutions, Annihilation-Creation Operators and Coherent States

    Satoru Odake;Ryu Sasaki

Frequent Co-Authors

Ryu Sasaki
Ryu Sasaki Tokyo University of Science
Michio Jimbo
Michio Jimbo Rikkyo University

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