Concepedia

First-order Recurrence Relations

First-Order Recurrence Relations is a recurrence relation that defines each term of a sequence as a function of the immediately preceding term, distinguished from higher-order recurrence relations by depending on only one prior term.

22

Publications

722

Citations

30

Authors

22

Institutions

Publications per year

2017–2026

1

Parents

Publications

22

Computation with Recurrence Relations.

F. W. J. O., Jet Wimp · Mathematics of Computation · 1986 · 232 citations

, , +10

The rational component of the solution of a first-order linear recurrence relation with a rational right side

USSR Computational Mathematics and Mathematical Physics · 1975 · 48 citations

, , +4

New Algorithms and Lower Bounds for the Parallel Evaluation of Certain Rational Expressions and Recurrences

H. T. Kung · Journal of the ACM · 1976 · 46 citations · Full text

, , +17

A Note on Pure Recurrence Relations

Sister Mary Celine Fasenmyer · American Mathematical Monthly · 1949 · 38 citations

, , +6

Third-order differential subordinationand superordination involvinga fractional operator

Rabha W. Ibrahim, Muhammad Zaini Ahmad, Hiba F. Al‐Janaby · Open Mathematics · 2015 · 33 citations · Full text

, , +7

1–5 of 22

Authors

30

  1. YU
    Yukio Umetani

    Hitachi (Japan), Japan

    2 publications · 20 citations

    2

    h-index

  2. HT
    H. T. Kung

    Carnegie Mellon University, United States

    2 publications · 57 citations

    2

    h-index

  3. SG
    S. Gotoo

    Hitachi (Japan), Japan

    2 publications · 20 citations

    2

    h-index

  4. KI
    Kyoko Iwasawa

    Hitachi (Japan), Japan

    2 publications · 20 citations

    2

    h-index

  5. YA
    Yu. A. Brychkov

    Computing Center, Russia

    1 publications · 25 citations

    1

    h-index

1–5 of 30

Institutions

22

  1. Carnegie Mellon University

    Pittsburgh, United States

    2 h-index

    2 publications

    57 citations

  2. Hitachi (Japan)

    Tokyo, Japan

    2 h-index

    8 publications

    80 citations

  3. University of Amsterdam

    Amsterdam, The Netherlands

    1 h-index

    1 publications

    11 citations

  4. Dalhousie University

    Halifax, Canada

    1 h-index

    1 publications

    32 citations

  5. University of California, Los Angeles

    Los Angeles, United States

    1 h-index

    1 publications

    17 citations

  6. Computing Center

    Khabarovsk, Russia

    1 h-index

    1 publications

    25 citations

  7. St Petersburg University

    Saint Petersburg, Russia

    1 h-index

    1 publications

    25 citations

  8. Tiangong University

    Tianjin, China

    1 h-index

    1 publications

    25 citations

1–8 of 22

Venues

  1. American Mathematical Monthly

    2 publications · 54 citations

    2

    h-index

  2. Conference on High Performance Computing (Supercomputing)

    Conference · 1 publications · 10 citations

    1

    h-index

  3. Journal of Chemometrics

    1 publications · 25 citations

    1

    h-index

  4. Bulletin of the London Mathematical Society

    1 publications · 11 citations

    1

    h-index

  5. Mathematics of Computation

    MCOM · 1 publications · 232 citations

    1

    h-index

1–5