Concepedia

Montel's Theorem

Montel's Theorem is a fundamental result in complex analysis that establishes a uniform boundedness condition as a sufficient criterion for a family of holomorphic functions on an open subset of the complex plane to be normal in the sense of Montel, thereby distinguishing it as a cornerstone of normal family theory.

33

Publications

1.1K

Citations

39

Authors

28

Institutions

Publications per year

2017–2026

0

Variants

Montel Theorem

Parents

Publications

33

Certain Subclasses of Analytic Functions Associated with the Generalized Hypergeometric Function

Jacek Dziok, H. M. Srivastava · Integral Transforms and Special Functions · 2003 · 286 citations

, , +6

Open discrete mappings having local<i>ACL</i><sup><i>n</i></sup>inverses

Mihai Cristea · Complex Variables and Elliptic Equations · 2010 · 73 citations

, , +8

Normal families of quasimeromorphic mappings

Ruth Miniowitz · Proceedings of the American Mathematical Society · 1982 · 65 citations · Full text

, , +7

Normal families and the Nevanlinna theory

David Drasin · Acta Mathematica · 1969 · 63 citations · Full text

, , +8

On families of meromorphic maps into the complex projective space

Hirotaka Fujimoto · Nagoya Mathematical Journal · 1974 · 52 citations · Full text

, , +8

1–5 of 33

Authors

39

  1. JM
    J. M. Almira

    Universidad de Jaén, Spain

    4 publications · 51 citations

    4

    h-index

  2. HF
    Hirotaka Fujimoto

    Nagoya University, Japan

    2 publications · 95 citations

    2

    h-index

  3. LS
    László Székelyhidi

    University of Debrecen, Hungary

    2 publications · 21 citations

    2

    h-index

  4. RM
    Ruth Miniowitz

    Rafael Advanced Defense Systems (Israel), Israel

    2 publications · 81 citations

    2

    h-index

  5. JL
    J. L. Walsh

    Munster Technological University, Ireland

    2 publications · 54 citations

    2

    h-index

1–5 of 39

Institutions

28

  1. Nagoya University

    Nagoya, Japan

    2 h-index

    2 publications

    95 citations

  2. Universidad de Jaén

    Jaén, Spain

    2 h-index

    2 publications

    25 citations

  3. University of Victoria

    Victoria, Canada

    1 h-index

    1 publications

    286 citations

  4. Christian-Albrechts-Universität zu Kiel

    Kiel, Germany

    1 h-index

    1 publications

    24 citations

  5. Austral University of Chile

    Valdivia, Chile

    1 h-index

    1 publications

    18 citations

  6. Justus-Liebig-Universität Gießen

    Giessen, Germany

    1 h-index

    1 publications

    45 citations

  7. National University of Uzbekistan

    Tashkent, Uzbekistan

    1 h-index

    2 publications

    22 citations

  8. X-Fab (Germany)

    Erfurt, Germany

    1 h-index

    2 publications

    32 citations

1–8 of 28

Venues

  1. Proceedings of the American Mathematical Society

    PROC · 4 publications · 123 citations

    4

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 4 publications · 79 citations

    4

    h-index

  3. Aequationes Mathematicae

    AEM · 2 publications · 25 citations

    2

    h-index

  4. 2

    h-index

  5. Pacific Journal of Mathematics

    2 publications · 79 citations

    2

    h-index

1–5