Concepedia

Continued Fraction Identities

Continued Fraction Identities is a mathematical construct that establishes exact relationships between different representations of continued fractions, distinguishing itself by expressing equivalence or transformation rules among infinite or finite continued fraction expansions through analytically derived formulas.

227

Publications

7.5K

Citations

290

Authors

180

Institutions

Publications per year

2017–2026

14

Parents

Publications

227

Continued fractions— analytic theory and applications

Mathematics and Computers in Simulation · 1982 · 661 citations

, , +8

Metrical Theory for a Class of Continued Fraction Transformations and Their Natural Extensions

Hitoshi Nakada · Tokyo Journal of Mathematics · 1981 · 175 citations · Full text

, , +8

Continued fractions: analytic theory and applications

Evelyn Frank · Journal of the Franklin Institute · 1983 · 173 citations

, , +9

On continued fractions and diophantine approximation in power series fields

Wolfgang M. Schmidt · Acta Arithmetica · 2000 · 158 citations · Full text

, , +11

Some continued fractions of the Rogers-Ramanujan type

Basil Gordon · Duke Mathematical Journal · 1965 · 155 citations

, , +8

1–5 of 227

Authors

290

  1. ME
    Mourad E. H. Ismail

    University of South Florida, United States

    6 publications · 275 citations

    6

    h-index

  2. HS
    H. S. Wall

    The University of Texas at Austin, United States

    4 publications · 97 citations

    4

    h-index

  3. DR
    David R. Masson

    University of Toronto, Canada

    4 publications · 164 citations

    4

    h-index

  4. GN
    G. N. Watson

    University of Birmingham, United Kingdom

    3 publications · 212 citations

    3

    h-index

  5. DL
    Dan Lascu

    Polytechnic University of Timişoara, Romania

    3 publications · 59 citations

    3

    h-index

1–5 of 290

Institutions

180

  1. Centre National de la Recherche Scientifique

    Paris, France

    9 h-index

    10 publications

    312 citations

  2. University of Illinois Urbana-Champaign

    Urbana, United States

    9 h-index

    15 publications

    519 citations

  3. Wuhan University

    Wuhan, China

    4 h-index

    7 publications

    116 citations

  4. Université Claude Bernard Lyon 1

    Villeurbanne, France

    4 h-index

    5 publications

    238 citations

  5. Pennsylvania State University

    State College, United States

    4 h-index

    5 publications

    205 citations

  6. Marquette University

    Milwaukee, United States

    3 h-index

    4 publications

    63 citations

  7. Urbana University

    Urbana, United States

    3 h-index

    3 publications

    84 citations

  8. Institut Camille Jordan

    Villeurbanne, France

    3 h-index

    3 publications

    110 citations

1–8 of 180

Venues

  1. Journal of Number Theory

    16 publications · 437 citations

    13

    h-index

  2. Acta Arithmetica

    13 publications · 416 citations

    11

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 10 publications · 171 citations

    10

    h-index

  4. American Mathematical Monthly

    7 publications · 143 citations

    7

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 6 publications · 173 citations

    6

    h-index

1–5