Concepedia

Continued Fraction Expansions

Continued Fraction Expansions is a mathematical representation that expresses a real number as a sequence of integers formed by iteratively decomposing the number into an integer part and the reciprocal of a remainder, thereby distinguishing it from other number representations by its recursive fractional structure.

1.1K

Publications

43.5K

Citations

1.2K

Authors

611

Institutions

Publications per year

2017–2026

68

Variants

Continued Fraction Expansion

Parents

Publications

1.1K

Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States

F. D. M. Haldane · Physical Review Letters · 1983 · 2.2K citations

, , +12

A Continued-Fraction Representation of the Time-Correlation Functions

Hazime Mori · Progress of Theoretical Physics · 1965 · 1.8K citations · Full text

, , +17

An Improved Method for Numerical Inversion of Laplace Transforms

F. R. de Hoog, J. H. Knight, A. N. Stokes · SIAM Journal on Scientific and Statistical Computing · 1982 · 878 citations

, , +17

Continued fractions— analytic theory and applications

Mathematics and Computers in Simulation · 1982 · 661 citations

, , +8

Computational Aspects of Three-Term Recurrence Relations

Walter Gautschi · SIAM Review · 1967 · 640 citations

, , +10

1–5 of 1.1K

Authors

1.2K

  1. WJ
    W. J. Thron

    University of Colorado Boulder, United States

    25 publications · 574 citations

    16

    h-index

  2. HS
    H. S. Wall

    The University of Texas at Austin, United States

    16 publications · 407 citations

    14

    h-index

  3. WB
    William B. Jones

    University of Colorado Boulder, United States

    11 publications · 288 citations

    11

    h-index

  4. CK
    Cor Kraaikamp

    Delft University of Technology, Netherlands

    12 publications · 319 citations

    11

    h-index

  5. PF
    Philippe Flajolet

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

    11 publications · 804 citations

    11

    h-index

1–5 of 1.2K

Institutions

611

  1. Centre National de la Recherche Scientifique

    Paris, France

    19 h-index

    52 publications

    1.5K citations

  2. University of Illinois Urbana-Champaign

    Urbana, United States

    13 h-index

    27 publications

    821 citations

  3. University of Houston

    Houston, United States

    12 h-index

    26 publications

    1.4K citations

  4. Huazhong University of Science and Technology

    Wuhan, China

    12 h-index

    22 publications

    594 citations

  5. Delft University of Technology

    Delft, The Netherlands

    11 h-index

    17 publications

    432 citations

  6. Université Claude Bernard Lyon 1

    Villeurbanne, France

    11 h-index

    13 publications

    573 citations

  7. University of Colorado Boulder

    Boulder, United States

    11 h-index

    16 publications

    722 citations

  8. Wuhan University

    Wuhan, China

    11 h-index

    17 publications

    337 citations

1–8 of 611

Venues

  1. Mathematics of Computation

    MCOM · 35 publications · 1.5K citations

    20

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 35 publications · 1.1K citations

    20

    h-index

  3. Journal of Number Theory

    43 publications · 1.2K citations

    19

    h-index

  4. Acta Arithmetica

    34 publications · 895 citations

    16

    h-index

  5. Physical review. B, Condensed matter

    PRB · 18 publications · 906 citations

    15

    h-index

1–5