Concepedia

Cauchy Integral Theorem

The Cauchy Integral Theorem is a fundamental theorem in complex analysis stating that the contour integral of a holomorphic function over a closed path in a simply connected domain is zero, distinguishing it as a cornerstone result linking function analyticity and path independence in complex integration.

321

Publications

14.1K

Citations

470

Authors

242

Institutions

Publications per year

2017–2026

21

Variants

Cauchy's Integral TheoremCauchy-goursat Theorem

Parents

Publications

321

<i>Theory of Functions of a Complex Variable</i>

A. I. Markushevich, Richard A. Silverman, J. Gillis · Physics Today · 1966 · 1.2K citations

, , +16

Boundary Integral Operators on Lipschitz Domains: Elementary Results

Martin Costabel · SIAM Journal on Mathematical Analysis · 1988 · 898 citations

, , +16

A T(b) theorem with remarks on analytic capacity and the Cauchy integral

Michael Christ · Colloquium Mathematicum · 1990 · 784 citations · Full text

, , +5

A Boundedness Criterion for Generalized Calderon-Zygmund Operators

Guy David, Jean-Lin Journé · Annals of Mathematics · 1984 · 483 citations

, , +12

Some Fractional <i>q</i>-Integrals and <i>q</i>-Derivatives

W. A. Al‐Salam · Proceedings of the Edinburgh Mathematical Society · 1966 · 366 citations · Full text

, , +8

1–5 of 321

Authors

470

  1. JB
    Juan Bory Reyes

    Universidad de Oriente, Cuba

    10 publications · 193 citations

    10

    h-index

  2. RA
    Ricardo Abreu Blaya

    University of Holguín, Cuba

    8 publications · 160 citations

    8

    h-index

  3. JR
    John Ryan

    University of Arkansas at Fayetteville, United States

    6 publications · 193 citations

    6

    h-index

  4. SS
    Stephen Semmes

    Rice University, United States

    5 publications · 217 citations

    5

    h-index

  5. NI
    N. I. Ioakimidis

    University of Patras, Greece

    4 publications · 71 citations

    4

    h-index

1–5 of 470

Institutions

242

  1. University of Holguín

    Holguín, Cuba

    8 h-index

    11 publications

    265 citations

  2. Ghent University

    Ghent, Belgium

    7 h-index

    15 publications

    301 citations

  3. Universidad de Oriente

    Santiago de Cuba, Cuba

    6 h-index

    7 publications

    116 citations

  4. Instituto Politécnico Nacional

    Mexico City, Mexico

    5 h-index

    5 publications

    110 citations

  5. Henan Polytechnic University

    Jiaozuo, China

    5 h-index

    6 publications

    113 citations

  6. Tiangong University

    Tianjin, China

    4 h-index

    8 publications

    184 citations

  7. Inner Mongolia University for Nationalities

    Tongliao, China

    4 h-index

    4 publications

    84 citations

  8. Wuhan University

    Wuhan, China

    4 h-index

    7 publications

    131 citations

1–8 of 242

Venues

  1. 10

    h-index

  2. 9

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 10 publications · 265 citations

    9

    h-index

  4. Duke Mathematical Journal

    DMJ · 8 publications · 446 citations

    8

    h-index

  5. Pacific Journal of Mathematics

    7 publications · 253 citations

    7

    h-index

1–5