Concepedia

Exponential Generating Functions

Exponential Generating Functions is a type of generating function in which the coefficients of the series are weighted by factorials, specifically defined as a formal power series of the form $ \sum_{n=0}^{\infty} a_n \frac{x^n}{n!} $, distinguishing it from ordinary generating functions by its incorporation of the exponential denominator to encode combinatorial structures involving labeled objects.

180

Publications

9.5K

Citations

294

Authors

187

Institutions

Publications per year

2017–2026

19

Variants

Egf

Parents

Publications

180

Generalized Cumulant Expansion Method

Ryogo Kubo · Journal of the Physical Society of Japan · 1962 · 1.8K citations

, , +13

New exponential bounds and approximations for the computation of error probability in fading channels

Marco Chiani, Davide Dardari, M.K. Simon · IEEE Transactions on Wireless Communications · 2003 · 891 citations

, , +17

On Some Exponential Sums

André Weil · Proceedings of the National Academy of Sciences · 1948 · 792 citations · Full text

, , +6

Reformulated radial basis neural networks trained by gradient descent

N.B. Karayiannis · IEEE Transactions on Neural Networks · 1999 · 282 citations

, , +10

Beyond the principle of similitude: renormalization in the bronchial tree

Bruce J. West, Valmik Bhargava, Ary L. Goldberger · Journal of Applied Physiology · 1986 · 183 citations

, , +10

1–5 of 180

Authors

294

  1. HM
    H. M. Srivastava

    University of Victoria, Canada

    5 publications · 229 citations

    5

    h-index

  2. CA
    Chinnaraji Annamalai

    Indian Institute of Technology Kharagpur, India

    3 publications · 96 citations

    3

    h-index

  3. PF
    Philippe Flajolet

    Institut national de recherche en sciences et technologies du numérique, France

    3 publications · 113 citations

    3

    h-index

  4. NW
    Nicholas Wormald

    The University of Melbourne, Australia

    2 publications · 31 citations

    2

    h-index

  5. NK
    N.B. Karayiannis

    University of Houston, United States

    2 publications · 330 citations

    2

    h-index

1–5 of 294

Institutions

187

  1. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    7 publications

    145 citations

  2. University of Victoria

    Victoria, Canada

    6 h-index

    6 publications

    263 citations

  3. University of Waterloo

    Waterloo, Canada

    4 h-index

    5 publications

    161 citations

  4. Indian Institute of Technology Kharagpur

    Kharagpur, India

    4 h-index

    4 publications

    106 citations

  5. University of Houston

    Houston, United States

    3 h-index

    3 publications

    346 citations

  6. University of Newcastle Australia

    Newcastle, Australia

    3 h-index

    3 publications

    49 citations

  7. Waterford Institute of Technology

    Waterford, Ireland

    2 h-index

    2 publications

    34 citations

  8. Akdeniz University

    Antalya, Türkiye

    2 h-index

    2 publications

    159 citations

1–8 of 187

Venues

  1. American Mathematical Monthly

    6 publications · 240 citations

    6

    h-index

  2. arXiv (Cornell University)

    Repository · 6 publications · 101 citations

    6

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 4 publications · 65 citations

    4

    h-index

  4. Duke Mathematical Journal

    DMJ · 4 publications · 288 citations

    4

    h-index

  5. Pacific Journal of Mathematics

    4 publications · 104 citations

    4

    h-index

1–5