Concepedia

Continued Fraction Transformations

Continued Fraction Transformations is a mathematical framework that systematically alters the coefficients or structure of a continued fraction representation to analyze convergence properties, dynamical behavior, or number-theoretic characteristics distinct from standard iterative or algebraic manipulations of continued fractions.

400

Publications

16.1K

Citations

534

Authors

329

Institutions

Publications per year

2017–2026

32

Parents

Publications

400

Non‐linear Transformations of Divergent and Slowly Convergent Sequences

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

, , +15

Discretization schemes for fractional-order differentiators and integrators

YangQuan Chen, Kevin L. Moore · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2002 · 562 citations

, , +14

Combinatorial aspects of continued fractions

Philippe Flajolet · Discrete Mathematics · 1980 · 488 citations

, , +12

Dimensions and Measures in Infinite Iterated Function Systems

R. Daniel Mauldin, Mariusz Urbański · Proceedings of the London Mathematical Society · 1996 · 410 citations

, , +16

The Modular Surface and Continued Fractions

Caroline Series · Journal of the London Mathematical Society · 1985 · 324 citations

, , +11

1–5 of 400

Authors

534

  1. WJ
    W. J. Thron

    University of Colorado Boulder, United States

    8 publications · 170 citations

    8

    h-index

  2. HN
    Hitoshi Nakada

    Keio University, Japan

    6 publications · 314 citations

    6

    h-index

  3. PF
    Philippe Flajolet

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

    6 publications · 702 citations

    6

    h-index

  4. HS
    H. S. Wall

    The University of Texas at Austin, United States

    5 publications · 136 citations

    5

    h-index

  5. IU
    Ilie Ugarcovici

    DePaul University, United States

    4 publications · 84 citations

    4

    h-index

1–5 of 534

Institutions

329

  1. Centre National de la Recherche Scientifique

    Paris, France

    14 h-index

    23 publications

    932 citations

  2. University of Pisa

    Pisa, Italy

    8 h-index

    16 publications

    406 citations

  3. University of Illinois Urbana-Champaign

    Urbana, United States

    8 h-index

    12 publications

    306 citations

  4. University of Houston

    Houston, United States

    7 h-index

    13 publications

    510 citations

  5. Commissariat à l'Énergie Atomique et aux Énergies Alternatives

    Paris, France

    6 h-index

    9 publications

    237 citations

  6. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    6 h-index

    8 publications

    752 citations

  7. Huazhong University of Science and Technology

    Wuhan, China

    6 h-index

    11 publications

    377 citations

  8. Institut Camille Jordan

    Villeurbanne, France

    5 h-index

    4 publications

    134 citations

1–8 of 329

Venues

  1. Journal of Number Theory

    14 publications · 521 citations

    11

    h-index

  2. Theoretical Computer Science

    8 publications · 279 citations

    8

    h-index

  3. Duke Mathematical Journal

    DMJ · 7 publications · 302 citations

    7

    h-index

  4. The Journal of Chemical Physics

    7 publications · 224 citations

    7

    h-index

  5. Acta Arithmetica

    6 publications · 180 citations

    7

    h-index

1–5