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Daniel Alpay

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 39 2200 1944 930 771 425 6590

Daniel Alpay publications per year

The chart shows the history of publications by Daniel Alpay between 1984 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Daniel Alpay published across 42 years, from 1984 to 2025, averaging 12.1 papers a year. Output peaked at 40 publications in 2024. 53 of the 510 publications appeared in the last two years.

No. of publications
10 20 30 40
Bar chart. Horizontal axis: year, 1984 to 2025. Vertical axis: number of publications, 0 to 40. Peak 40 publications in 2024. 1984: 1 publication 1985: 0 publications 1986: 1 publication 1987: 1 publication 1988: 3 publications 1989: 2 publications 1990: 4 publications 1991: 4 publications 1992: 6 publications 1993: 6 publications 1994: 8 publications 1995: 10 publications 1996: 8 publications 1997: 8 publications 1998: 12 publications 1999: 7 publications 2000: 13 publications 2001: 15 publications 2002: 19 publications 2003: 15 publications 2004: 6 publications 2005: 17 publications 2006: 8 publications 2007: 13 publications 2008: 9 publications 2009: 15 publications 2010: 10 publications 2011: 17 publications 2012: 16 publications 2013: 12 publications 2014: 17 publications 2015: 30 publications 2016: 23 publications 2017: 11 publications 2018: 12 publications 2019: 10 publications 2020: 22 publications 2021: 21 publications 2022: 22 publications 2023: 23 publications 2024: 40 publications 2025: 13 publications
1984 2025

510 publications in total across all disciplines

View publications per year as a table
Daniel Alpay: publications per year, 1984 to 2025
Year Publications
1984 1
1985 0
1986 1
1987 1
1988 3
1989 2
1990 4
1991 4
1992 6
1993 6
1994 8
1995 10
1996 8
1997 8
1998 12
1999 7
2000 13
2001 15
2002 19
2003 15
2004 6
2005 17
2006 8
2007 13
2008 9
2009 15
2010 10
2011 17
2012 16
2013 12
2014 17
2015 30
2016 23
2017 11
2018 12
2019 10
2020 22
2021 21
2022 22
2023 23
2024 40
2025 13
Total 510
Download as CSV

Daniel Alpay 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 Daniel Alpay sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 422–426 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 425 publications — 95th percentile

95% of scientists in this discipline score the same or lower.

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

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8 425
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Daniel Alpay 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 Daniel Alpay sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 39 D-Index, is where this scientist sits. 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: 39 D-Index — 41st percentile

41% of scientists in this discipline score the same or lower.

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

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150 39
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Overview

Daniel Alpay is affiliated with Chapman University in the United States and specializes primarily in mathematics with a focus on applied mathematics and its related subfields. Their research spans a wide array of mathematical topics, including applied mathematics, mathematical physics, computational theory and mathematics, statistical and nonlinear physics, and geometry and topology.

Their main topics of work cover diverse areas such as algebraic and geometric analysis, mathematical analysis and transform methods, holomorphic and operator theory, matrix theory and algorithms, advanced topics in algebra, mathematical functions and polynomials, and various applications of mathematics.

Daniel Alpay has contributed to numerous publications and is frequently published in venues such as arXiv (Cornell University), Linear Algebra and its Applications, Virtual Community of Pathological Anatomy (University of Castilla La Mancha), Integral Equations and Operator Theory, and Opuscula Mathematica.

Selected recent papers include:

  • On the global operator and Fueter mapping theorem for slice polyanalytic functions, 2021, Virtual Community of Pathological Anatomy (University of Castilla La Mancha)
  • Operators induced by certain hypercomplex systems, 2023, Opuscula Mathematica
  • Correction to: On Slice Polyanalytic Functions of a Quaternionic Variable, 2021, Results in Mathematics
  • Short-time Fourier transform and superoscillations, 2024, Applied and Computational Harmonic Analysis
  • Infinite-order Differential Operators Acting on Entire Hyperholomorphic Functions, 2021, Virtual Community of Pathological Anatomy (University of Castilla La Mancha)

They have frequently collaborated with researchers such as Irene Sabadini, Fabrizio Colombo, Kamal Diki, Mihaela Vajiac, and Ilwoo Cho.

In terms of book publications, Daniel Alpay has works published by Springer Nature, Springer International Publishing, and Chapman mathematical notes. Notable titles include:

  • Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions (2024)
  • Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory (2020)
  • New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative (2021)
  • Quaternionic de Branges Spaces and Characteristic Operator Function (2020)
  • Exercises in Applied Mathematics (2024)

Best Publications

  • Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces

    D Alpay;Aad Dijksma;J Rovnyak;H deSnoo

  • Slice Hyperholomorphic Schur Analysis

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini

  • On Applications of Reproducing Kernel Spaces to the Schur Algorithm and Rational J Unitary Factorization

    Daniel Alpay;Harry Dym

  • Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

    Daniel Alpay;Maria Elena Luna-Elizarrarás;Michael Shapiro;Daniele Carlo Struppa

  • The Schur Algorithm, Reproducing Kernel Spaces and System Theory

    Daniel Alpay

  • Unitary Rational Matrix Functions

    Daniel Alpay;Israel Gohberg

  • The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum

    Daniel Alpay;Fabrizio Colombo;David P. Kimsey

  • Reproducing Kernel Spaces and Applications

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini

  • Hilbert spaces of analytic functions, inverse scattering and operator models.II

    Daniel Alpay;Harry Dym

  • Schur Functions and Their Realizations in the Slice Hyperholomorphic Setting

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini

  • Lossless Inverse Scattering and Reproducing Kernels for Upper Triangular Operators

    Daniel Alpay;Patrick Dewilde;Harry Dym

  • Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini

  • On a New Class of Structured Reproducing Kernel Spaces

    Daniel Alpay;H. Dym

  • INTERPOLATION PROBLEMS, EXTENSIONS OF SYMMETRICAL OPERATORS AND REPRODUCING KERNEL SPACES II

    Daniel Alpay;A Dijksma;H de Snoo

  • Reproducing Kernel Quaternionic Pontryagin Spaces

    Daniel Alpay;Michael Shapiro

  • The Fock Space in the Slice Hyperholomorphic Setting

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini;Guy Salomon

  • Krein–Langer Factorization and Related Topics in the Slice Hyperholomorphic Setting

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini

  • Stochastic Processes Induced By Singular Operators

    Daniel Alpay;Palle E. T. Jorgensen

  • Some extremal problems linked with indentification from partial frequency data

    Daniel Alpay;Laurent Baratchart;Juliette Leblond

  • Algorithme de Schur, espaces à noyau reproduisant et théorie des systèmes

    Daniel Alpay

Frequent Co-Authors

Irene Sabadini
Irene Sabadini Polytechnic University of Milan
Israel Gohberg
Israel Gohberg Tel Aviv University
Palle E. T. Jorgensen
Palle E. T. Jorgensen University of Iowa
Heinz Langer
Heinz Langer TU Wien
Daniele C. Struppa
Daniele C. Struppa Chapman University
Joseph A. Ball
Joseph A. Ball Virginia Tech
Tao Qian
Tao Qian Macau University of Science and Technology
Marinus A. Kaashoek
Marinus A. Kaashoek Vrije Universiteit Amsterdam
Philippe Loubaton
Philippe Loubaton Université Paris Cité
Simeon Reich
Simeon Reich Technion – Israel Institute of Technology

External Links

Personal website of Daniel Alpay Google Scholar page

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Best Scientists Citing Daniel Alpay

Joseph A. Ball

Joseph A. Ball

Virginia Tech

Publications: 76

Palle E. T. Jorgensen

Palle E. T. Jorgensen

University of Iowa

Publications: 36

Marinus A. Kaashoek

Marinus A. Kaashoek

Vrije Universiteit Amsterdam

Publications: 30

Israel Gohberg

Israel Gohberg

Tel Aviv University

Publications: 27

Omar Abu Arqub

Omar Abu Arqub

Al-Balqa` Applied University

Publications: 24

Irene Sabadini

Irene Sabadini

Polytechnic University of Milan

Publications: 19

Fritz Gesztesy

Fritz Gesztesy

Baylor University

Publications: 17

Mohammed Al-Smadi

Mohammed Al-Smadi

Lusail University

Publications: 13

Jim Agler

Jim Agler

University of California, San Diego

Publications: 8

Yoshihiro Sawano

Yoshihiro Sawano

Chuo University

Publications: 8

Tao Qian

Tao Qian

Macau University of Science and Technology

Publications: 8

Heinz Langer

Heinz Langer

TU Wien

Publications: 7

Shaher Momani

Shaher Momani

University of Jordan

Publications: 7

Thomas Kailath

Thomas Kailath

Stanford University

Publications: 6

Marius Mitrea

Marius Mitrea

Baylor University

Publications: 5

Ali H. Sayed

Ali H. Sayed

École Polytechnique Fédérale de Lausanne

Publications: 5

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