Concepedia

Differentiation Of Integral Functions

Differentiation of Integral Functions is a mathematical framework within the Fundamental Theorem of Calculus that characterizes the derivative of a function defined as the integral of another function with respect to its upper limit of integration.

227

Publications

15.1K

Citations

295

Authors

140

Institutions

Publications per year

2017–2026

16

Parents

Publications

227

Integrals of set-valued functions

Robert J. Aumann · Journal of Mathematical Analysis and Applications · 1965 · 1.3K citations

, , +7

ON FRACTIONAL INTEGRALS AND DERIVATIVES

H. Kober · The Quarterly Journal of Mathematics · 1940 · 1.2K citations

, , +11

Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation

Igor Podlubný · ArXiv.org · 2001 · 887 citations · Full text

, , +12

Integration and differentiation to a variable fractional order

Stefan Samko, Bertram Ross · Integral Transforms and Special Functions · 1993 · 598 citations

, , +8

The problem of integration in finite terms

Robert H. Risch · Transactions of the American Mathematical Society · 1969 · 321 citations · Full text

, , +14

1–5 of 227

Authors

295

  1. TJ
    Thomas J. Osler

    Rowan University, United States

    5 publications · 370 citations

    5

    h-index

  2. SM
    S. M. Shah

    University of Kentucky, United States

    4 publications · 75 citations

    4

    h-index

  3. RE
    Ralph E. Lane

    3 publications · 58 citations

    3

    h-index

  4. RL
    Richard L. Wheeden

    Rutgers, The State University of New Jersey, United States

    3 publications · 77 citations

    3

    h-index

  5. SS
    Stefan Samko

    University of Algarve, Portugal

    3 publications · 941 citations

    3

    h-index

1–5 of 295

Institutions

140

  1. Eastern Mediterranean University

    Famagusta, Cyprus

    2 h-index

    3 publications

    66 citations

  2. The Ohio State University

    Columbus, United States

    2 h-index

    2 publications

    43 citations

  3. Georgia Institute of Technology

    Atlanta, United States

    2 h-index

    2 publications

    200 citations

  4. University of Vienna

    Vienna, Austria

    2 h-index

    2 publications

    43 citations

  5. Savitribai Phule Pune University

    Pune, India

    2 h-index

    4 publications

    696 citations

  6. Technische Universität Berlin

    Berlin, Germany

    2 h-index

    2 publications

    46 citations

  7. University of Cincinnati

    Cincinnati, United States

    2 h-index

    2 publications

    114 citations

  8. The University of Melbourne

    Melbourne, Australia

    2 h-index

    2 publications

    29 citations

1–8 of 140

Venues

  1. American Mathematical Monthly

    34 publications · 2.3K citations

    22

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 15 publications · 668 citations

    13

    h-index

  3. Journal of the London Mathematical Society

    8 publications · 354 citations

    8

    h-index

  4. Proceedings of the London Mathematical Society

    7 publications · 165 citations

    7

    h-index

  5. Nature

    6 publications · 96 citations

    6

    h-index

1–5