Concepedia

Continued Fractions

Continued Fractions is a number-theoretic representation of real numbers as nested quotients of the form \(a_0 + \frac{1}{a_1 + \frac{1}{a_2 + \cdots}}\), where the \(a_i\) are integers (partial quotients) and the expression may be finite or infinite.

1.1K

Publications

43.4K

Citations

1.2K

Authors

602

Institutions

Publications per year

2017–2026

92

Parents

Children

Publications

1.1K

Wavelets and filter banks: theory and design

Martin Vetterli, Cormac Herley · IEEE Transactions on Signal Processing · 1992 · 1.7K citations · Full text

, , +15

Non‐linear Transformations of Divergent and Slowly Convergent Sequences

Daniel Shanks · Journal of Mathematics and Physics · 1955 · 1.1K citations

, , +15

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

    31 publications · 991 citations

    18

    h-index

  2. HS
    H. S. Wall

    The University of Texas at Austin, United States

    18 publications · 438 citations

    15

    h-index

  3. RD
    Roman Dmytryshyn

    Vasyl Stefanyk Carpathian National University, Ukraine

    13 publications · 253 citations

    13

    h-index

  4. PF
    Philippe Flajolet

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

    12 publications · 870 citations

    12

    h-index

  5. WB
    William B. Jones

    University of Colorado Boulder, United States

    16 publications · 620 citations

    12

    h-index

1–5 of 1.2K

Institutions

602

  1. Centre National de la Recherche Scientifique

    Paris, France

    19 h-index

    50 publications

    1.5K citations

  2. Huazhong University of Science and Technology

    Wuhan, China

    14 h-index

    29 publications

    1.1K citations

  3. Vasyl Stefanyk Carpathian National University

    Ivano-Frankivsk, Ukraine

    13 h-index

    22 publications

    428 citations

  4. University of Illinois Urbana-Champaign

    Urbana, United States

    13 h-index

    31 publications

    890 citations

  5. University of Colorado Boulder

    Boulder, United States

    12 h-index

    21 publications

    1.3K citations

  6. Delft University of Technology

    Delft, The Netherlands

    12 h-index

    19 publications

    609 citations

  7. Wuhan University

    Wuhan, China

    12 h-index

    22 publications

    541 citations

  8. University of Houston

    Houston, United States

    12 h-index

    24 publications

    722 citations

1–8 of 602

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 41 publications · 1.4K citations

    22

    h-index

  2. Mathematics of Computation

    MCOM · 39 publications · 1.8K citations

    20

    h-index

  3. Journal of Number Theory

    44 publications · 1.2K citations

    19

    h-index

  4. Acta Arithmetica

    36 publications · 951 citations

    16

    h-index

  5. Journal of Computational and Applied Mathematics

    20 publications · 601 citations

    15

    h-index

1–5