Concepedia

Functional Equations

Functional Equations is a mathematical framework within analytic combinatorics and analytic number theory that characterizes generating functions by equations relating their values at different points, distinguishing itself from algebraic or differential equations by involving unknown functions in functional relationships.

2.9K

Publications

122.5K

Citations

3.1K

Authors

1.4K

Institutions

Publications per year

2017–2026

292

Parents

Publications

2.9K

Lectures on Functional Equations and their Applications.

F. Hahn, J. Aczél, Hansjörg Oser · American Mathematical Monthly · 1968 · 2.6K citations

, , +12

Prior Probabilities

E. T. Jaynes · IEEE Transactions on Systems Science and Cybernetics · 1968 · 1.1K citations

, , +13

On some non-linear elliptic differential-functional equations

Philip Hartman, Guido Stampacchia · Acta Mathematica · 1966 · 989 citations · Full text

, , +7

Iterated function systems and the global construction of fractals

Michael F. Barnsley, Stephen Demko · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1985 · 971 citations

, , +15

Functional equations in several variables: with applications to mathematics, information theory, and to the natural and social sciences

Choice Reviews Online · 1989 · 867 citations

, , +15

1–5 of 2.9K

Authors

3.1K

  1. CP
    Choonkil Park

    Hanyang University, South Korea

    41 publications · 1.4K citations

    21

    h-index

  2. M‎
    M‎. ‎Eshaghi Gordji

    Semnan University, Iran

    28 publications · 1.1K citations

    20

    h-index

  3. JK
    Jack K. Hale

    Brown University, United States

    21 publications · 1.6K citations

    18

    h-index

  4. JM
    John Michael Rassias

    National and Kapodistrian University of Athens, Greece

    25 publications · 1K citations

    18

    h-index

  5. JB
    Janusz Brzdȩk

    Uniwersytet Komisji Edukacji Narodowej w Krakowie, Poland

    28 publications · 1.1K citations

    18

    h-index

1–5 of 3.1K

Institutions

1.4K

  1. Brown University

    Providence, United States

    25 h-index

    41 publications

    2.5K citations

  2. University of Waterloo

    Waterloo, Canada

    22 h-index

    61 publications

    1.9K citations

  3. Institute of Mathematics

    Warsaw, Poland

    21 h-index

    57 publications

    2K citations

  4. Uniwersytet Komisji Edukacji Narodowej w Krakowie

    Krakow, Poland

    21 h-index

    47 publications

    2K citations

  5. Hanyang University

    Seoul, South Korea

    20 h-index

    41 publications

    1.3K citations

  6. Centre National de la Recherche Scientifique

    Paris, France

    19 h-index

    36 publications

    1.3K citations

  7. Semnan University

    Semnan, Iran

    19 h-index

    49 publications

    2.2K citations

  8. University of Debrecen

    Debrecen, Hungary

    18 h-index

    51 publications

    1.3K citations

1–8 of 1.4K

Venues

  1. Journal of Mathematical Analysis and Applications

    198 publications · 8.7K citations

    44

    h-index

  2. Journal of Differential Equations

    85 publications · 5.2K citations

    39

    h-index

  3. Nonlinear Analysis

    88 publications · 3.7K citations

    36

    h-index

  4. Aequationes Mathematicae

    AEM · 152 publications · 5.2K citations

    32

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 55 publications · 3.7K citations

    24

    h-index

1–5