Concepedia

Continued Fraction Convergence

Continued Fraction Convergence is a mathematical property characterizing the limit behavior of the sequence of convergents in a continued fraction, distinguishing it as the condition under which successive rational approximations approach a definite real or complex value.

345

Publications

13K

Citations

415

Authors

266

Institutions

Publications per year

2017–2026

33

Parents

Publications

345

Non‐linear Transformations of Divergent and Slowly Convergent Sequences

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

, , +15

Guided waves on sinusoidally-modulated reactance surfaces

A.A. Oliner, A. Hessel · IRE Transactions on Antennas and Propagation · 1959 · 421 citations

, , +14

Continued Fractions with Applications.

David R. Masson, Lisa Lorentzen, Haakon Waadeland · Mathematics of Computation · 1994 · 383 citations

, , +14

Continued Fraction Expansion Approaches to Discretizing Fractional Order Derivatives?an Expository Review

YangQuan Chen, Blas M. Vinagre, Igor Podlubný · Nonlinear Dynamics · 2004 · 331 citations

, , +14

Stable reduced-order models using Padé-type approximations

Y. Shamash · IEEE Transactions on Automatic Control · 1974 · 307 citations

, , +9

1–5 of 345

Authors

415

  1. WJ
    W. J. Thron

    University of Colorado Boulder, United States

    23 publications · 551 citations

    15

    h-index

  2. HS
    H. S. Wall

    The University of Texas at Austin, United States

    11 publications · 311 citations

    11

    h-index

  3. RD
    Roman Dmytryshyn

    Vasyl Stefanyk Carpathian National University, Ukraine

    9 publications · 173 citations

    9

    h-index

  4. WB
    William B. Jones

    University of Colorado Boulder, United States

    8 publications · 193 citations

    8

    h-index

  5. LJ
    Lisa Jacobsen

    Norwegian University of Science and Technology, Norway

    8 publications · 252 citations

    8

    h-index

1–5 of 415

Institutions

266

  1. University of Colorado Boulder

    Boulder, United States

    9 h-index

    14 publications

    446 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    9 h-index

    10 publications

    261 citations

  3. Vasyl Stefanyk Carpathian National University

    Ivano-Frankivsk, Ukraine

    9 h-index

    17 publications

    325 citations

  4. Huazhong University of Science and Technology

    Wuhan, China

    8 h-index

    14 publications

    410 citations

  5. Wuhan University

    Wuhan, China

    6 h-index

    7 publications

    107 citations

  6. University of Waterloo

    Waterloo, Canada

    5 h-index

    9 publications

    165 citations

  7. West Ukrainian National University

    Ternopil, Ukraine

    5 h-index

    5 publications

    74 citations

  8. University of Colorado System

    Boulder, United States

    5 h-index

    7 publications

    162 citations

1–8 of 266

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 19 publications · 620 citations

    16

    h-index

  2. Mathematics of Computation

    MCOM · 16 publications · 983 citations

    13

    h-index

  3. Journal of Number Theory

    16 publications · 442 citations

    13

    h-index

  4. Acta Arithmetica

    9 publications · 140 citations

    9

    h-index

  5. Numerische Mathematik

    7 publications · 202 citations

    7

    h-index

1–5