Concepedia

Singularities Of Complex Functions

Singularities of Complex Functions is a fundamental concept in complex analysis denoting points in the complex plane where a complex function fails to be holomorphic, distinguished from regular points by the breakdown of analyticity, and classified into isolated singularities—such as removable singularities, poles, and essential singularities—based on the behavior of the function in their vicinity.

420

Publications

17.5K

Citations

574

Authors

342

Institutions

Publications per year

2017–2026

20

Parents

Publications

420

On Singularities of Mappings of Euclidean Spaces. I. Mappings of the Plane into the Plane

Hassler Whitney · Annals of Mathematics · 1955 · 537 citations

, , +12

Dynamical properties of some classes of entire functions

Alexandre Erëmenko, Mikhail Lyubich · Annales de l’institut Fourier · 1992 · 439 citations · Full text

, , +15

On the singularities of the inverse to a meromorphic function of finite order

Walter Bergweiler, Alexandre Erëmenko · Revista Matemática Iberoamericana · 1995 · 378 citations · Full text

, , +9

Invariant Varieties Through Singularities of Holomorphic Vector Fields

César Camacho, Paulo Sad · Annals of Mathematics · 1982 · 352 citations

, , +11

Theory of complex functions

Reinhold Remmert, R. B. Burckel · Mathematics and Computers in Simulation · 1991 · 287 citations · Full text

, , +11

1–5 of 420

Authors

574

  1. DB
    David B. Massey

    Northeastern University, United States

    6 publications · 183 citations

    6

    h-index

  2. WB
    Walter Bergweiler

    Christian-Albrechts-Universität zu Kiel, Germany

    5 publications · 456 citations

    5

    h-index

  3. JE
    John Erik Fornæss

    University of Michigan, United States

    4 publications · 133 citations

    4

    h-index

  4. SM
    S. M. Gusein‐Zade

    Lomonosov Moscow State University, Russia

    4 publications · 222 citations

    4

    h-index

  5. SV
    Sophia Vassiliadou

    Georgetown University, United States

    3 publications · 81 citations

    3

    h-index

1–5 of 574

Institutions

342

  1. Centre National de la Recherche Scientifique

    Paris, France

    11 h-index

    18 publications

    787 citations

  2. Princeton University

    Princeton, United States

    8 h-index

    8 publications

    204 citations

  3. Kyoto University

    Kyoto, Japan

    8 h-index

    8 publications

    286 citations

  4. Universidad Nacional Autónoma de México

    Mexico City, Mexico

    6 h-index

    7 publications

    314 citations

  5. The Open University

    Milton Keynes, United Kingdom

    6 h-index

    9 publications

    404 citations

  6. East China Normal University

    Shanghai, China

    6 h-index

    6 publications

    126 citations

  7. Christian-Albrechts-Universität zu Kiel

    Kiel, Germany

    6 h-index

    6 publications

    514 citations

  8. University of Liverpool

    Liverpool, United Kingdom

    6 h-index

    8 publications

    169 citations

1–8 of 342

Venues

  1. Pacific Journal of Mathematics

    12 publications · 352 citations

    12

    h-index

  2. Mathematische Annalen

    12 publications · 480 citations

    11

    h-index

  3. Functional Analysis and Its Applications

    10 publications · 481 citations

    10

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 9 publications · 340 citations

    9

    h-index

  5. Bulletin of the London Mathematical Society

    8 publications · 520 citations

    8

    h-index

1–5