World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
11017
World Ranking
1553
National Ranking
91

Paul L. Butzer 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 Paul L. Butzer 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: 267 publications — 80th percentile

80% of scientists in this discipline score the same or lower.

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

Paul L. Butzer 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 Paul L. Butzer 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: 44 D-Index — 58th percentile

58% of scientists in this discipline score the same or lower.

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

Overview

Paul L. Butzer is affiliated with RWTH Aachen University in Germany. Their research spans the fields of Mathematics and Computer Science, focusing particularly on several subfields including Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, Statistics and Probability, and Algebra and Number Theory.

The scientist's work is centered on a range of topics, notably:

  • Mathematical functions and polynomials
  • Approximation Theory and Sequence Spaces
  • Mathematical Analysis and Transform Methods
  • Matrix Theory and Algorithms
  • Mathematical and Theoretical Analysis
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in inverse problems

Paul L. Butzer has contributed to various research papers, including:

  • Integration of polar-analytic functions and applications to Boas' differentiation formula and Bernstein's inequality in Mellin setting (2020), published in Bollettino dell Unione Matematica Italiana
  • Valiron's Interpolation Formula and a Derivative Sampling Formula in the Mellin Setting Acquired via Polar-Analytic Functions (2020), published in Computational Methods and Function Theory
  • Polar-Analytic Functions: Old and New Results, Applications (2022), published in Results in Mathematics
  • A retrospective on research visits of Paul Butzer's Aachen research group to Eastern Europe and Tenerife (2022), published in Sampling Theory Signal Processing and Data Analysis
  • A retrospective on research visits of Paul Butzer's Aachen research group to North America and Western Europe (2020), published in Journal of Approximation Theory

Their frequent co-authors include:

  • R. L. Stens
  • Carlo Bardaro
  • Ilaria Mantellını
  • Gerhard Schmeißer
  • Franz Pichler

Paul L. Butzer's work is often published in several recurring venues, such as:

  • Sampling Theory Signal Processing and Data Analysis
  • Journal of Approximation Theory
  • Bollettino dell Unione Matematica Italiana
  • Computational Methods and Function Theory
  • Results in Mathematics

Best Publications

  • Semi-groups of operators and approximation

    Paul Leo Butzer;Hubert Berens

  • Fourier analysis and approximation

    Paul Leo Butzer;Rolf J. Nessel

  • An Introduction to Fractional Calculus

    P. L. Butzer;U. Westphal

  • Sampling theory for not necessarily band-limited functions: a historical overview

    P. L. Butzer;R. L. Stens

  • Fractional calculus in the Mellin setting and Hadamard-type fractional integrals

    Paul L. Butzer;Anatoly A. Kilbas;Juan J. Trujillo

  • Compositions of Hadamard-type fractional integration operators and the semigroup property

    Paul L. Butzer;Anatoly A. Kilbas;Juan J. Trujillo

  • A direct approach to the mellin transform

    Paul L. Butzer;Stefan Jansche

  • Mellin transform analysis and integration by parts for Hadamard-type fractional integrals

    Paul L. Butzer;Anatoly A. Kilbas;Juan J. Trujillo

  • A Bernstein-type operator approximating continuous functions on the semi-axis

    G. Bleimann;P.L. Butzer;L. Hahn

  • Kantorovich-Type Generalized Sampling Series in the Setting of Orlicz Spaces

    C. Bardaro;G. Vinti;P. L. Butzer;R. L. Stens

  • Walsh-fourier series and the concept of a derivative †

    P. L. Butzer;H.J. Wagner

  • Linear Combinations of Bernstein Polynomials

    P. L. Butzer

  • Approximation of continuous and discontinuous functions by generalized sampling series

    P. L. Butzer;S. Ries;R. L. Stens

  • Best trigonometric approximation, fractional order derivatives and Lipschitz classes

    P. L. Butzer;H. Dyckhoff;E. Görlich;R. L. Stens

  • Linear Prediction by Samples from the Past

    P. L. Butzer;R. L. Stens

  • An Introduction to Sampling Analysis

    P. L. Butzer;G. Schmeisser;R. L. Stens

  • Central factorial numbers; their main properties and some applications.

    Unknown

  • On Lagrange interpolation and Kramer-type sampling theorems associated with Sturm-Liouville problems

    Ahmed I. Zayed;Guido Hinsen;Paul L. Butzer

  • A sampling theorem for duration-limited functions with error estimates

    P. L. Butzer;Wolfgang Splettstösser

  • Convergence in Variation and Rates of Approximation for Bernstein-Type Polynomials and Singular Convolution Integrals

    C. Bardaro;P. L. Butzer;R. L. Stens;G. Vinti

  • Classical and approximate sampling theorems: studies in the L P (R) and the uniform norm

    P. L. Butzer;J. R. Higgins;R. L. Stens

Frequent Co-Authors

Anatoly A. Kilbas
Anatoly A. Kilbas Belarusian State University
Gianluca Vinti
Gianluca Vinti University of Perugia
Tom H. Koornwinder
Tom H. Koornwinder University of Amsterdam
James Serrin
James Serrin University of Minnesota
Hari M. Srivastava
Hari M. Srivastava University of Victoria
Olof B. Widlund
Olof B. Widlund Courant Institute of Mathematical Sciences
Patrizia Pucci
Patrizia Pucci University of Perugia
John R. Rice
John R. Rice Purdue University West Lafayette
Lutz Volkmann
Lutz Volkmann RWTH Aachen University
Karl W. Butzer
Karl W. Butzer The University of Texas at Austin

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