Concepedia

Ordinary Generating Functions

Ordinary Generating Functions is a type of formal power series in which the sequence of coefficients corresponds directly to a sequence of combinatorial counts, distinguished from other generating functions by encoding the sequence $\{a_n\}$ as $\sum_{n=0}^{\infty} a_n x^n$ without additional weighting factors such as factorial denominators or exponential terms.

27

Publications

654

Citations

43

Authors

23

Institutions

Publications per year

2017–2026

6

Variants

OgfOrdinary Generating Function

Parents

Publications

27

Size Functions and Formal Series

Patrizio Frosini, Claudia Landi · Applicable Algebra in Engineering Communication and Computing · 2001 · 78 citations · Full text

, , +6

The enumeration of simple permutations

Michael Albert, M. D. Atkinson, Martin Klazar · ArXiv.org · 2003 · 76 citations · Full text

, , +15

On some identities and generating functions for k- Pell numbers

Paula Catarino · International Journal of Mathematical Analysis · 2013 · 63 citations · Full text

, , +7

On some identities for k-Fibonacci sequence

Paula Catarino · International Journal of Contemporary Mathematical Sciences · 2014 · 41 citations · Full text

, , +4

On some identities and generating functions for k-Pell-Lucas sequence

Paula Catarino, Paulo Vasco · Applied Mathematical Sciences · 2013 · 36 citations · Full text

, , +5

1–5 of 27

Authors

43

  1. PC
    Paula Catarino

    University of Trás-os-Montes and Alto Douro, Portugal

    5 publications · 173 citations

    5

    h-index

  2. PV
    Paulo Vasco

    University of Trás-os-Montes and Alto Douro, Portugal

    3 publications · 69 citations

    3

    h-index

  3. GD
    G. Dattoli

    National Agency for New Technologies, Energy and Sustainable Economic Development, Italy

    2 publications · 48 citations

    2

    h-index

  4. PF
    Philippe Flajolet

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

    2 publications · 56 citations

    2

    h-index

  5. RS
    Robert Sedgewick

    Brown University, United States

    2 publications · 56 citations

    2

    h-index

1–5 of 43

Institutions

23

  1. University of Trás-os-Montes and Alto Douro

    Vila Real, Portugal

    3 h-index

    5 publications

    152 citations

  2. National Agency for New Technologies, Energy and Sustainable Economic Development

    Rome, Italy

    2 h-index

    4 publications

    110 citations

  3. Henan Polytechnic University

    Jiaozuo, China

    1 h-index

    1 publications

    12 citations

  4. Tbilisi State University

    Tbilisi, Georgia

    1 h-index

    1 publications

    17 citations

  5. Indian Institute of Technology Madras

    Chennai, India

    1 h-index

    1 publications

    20 citations

  6. Sapienza University of Rome

    Rome, Italy

    1 h-index

    1 publications

    17 citations

  7. Inspiration Innovation Synergy University

    Jaipur, India

    1 h-index

    1 publications

    14 citations

  8. Inner Mongolia University for Nationalities

    Tongliao, China

    1 h-index

    1 publications

    12 citations

1–8 of 23

Venues

  1. Applied Mathematical Sciences

    2 publications · 53 citations

    2

    h-index

  2. ArXiv.org

    Repository · 2 publications · 86 citations

    2

    h-index

  3. arXiv (Cornell University)

    Repository · 2 publications · 34 citations

    2

    h-index

  4. OpenGrey (Institut de l'Information Scientifique et Technique)

    Repository · 1 publications · 27 citations

    1

    h-index

  5. 1

    h-index

1–5