• In complex analysis, Gauss's continued fraction is a particular class of continued fractions derived from hypergeometric functions. It was one of the...
    16 KB (4,199 words) - 16:30, 28 May 2024
  • proved using Gauss's continued fraction. Most irrational numbers do not have any periodic or regular behavior in their continued fraction expansion. Nevertheless...
    76 KB (9,854 words) - 04:45, 24 September 2024
  • length p − 1. In 1813 Gauss derived from complex-valued hypergeometric functions what is now called Gauss's continued fractions. They can be used to express...
    50 KB (8,845 words) - 07:40, 27 July 2024
  • Thumbnail for Carl Friedrich Gauss
    ergodicity of the Gauss map for continued fractions. Gauss's solution is the first-ever result in the metrical theory of continued fractions. Gauss was busy with...
    182 KB (18,163 words) - 03:08, 27 September 2024
  • Thumbnail for Hypergeometric function
    and Gauss's theorem by putting z = −1 in the first identity. For generalization of Kummer's summation, see Lavoie, Grondin & Rathie (1996). Gauss's second...
    40 KB (7,168 words) - 13:44, 27 August 2024
  • Thumbnail for List of things named after Carl Friedrich Gauss
    as row reduction or Gaussian method Gauss–Jordan elimination Gauss–Seidel method Gauss's cyclotomic formula Gauss's lemma in relation to polynomials Gaussian...
    14 KB (1,124 words) - 14:42, 31 July 2024
  • continued fractions, Euler's continued fraction formula is an identity connecting a certain very general infinite series with an infinite continued fraction...
    15 KB (4,195 words) - 10:23, 6 August 2024
  • truncated, with an ellipsis to show that they continue. Rational numbers have two continued fractions; the version in this list is the shorter one. Decimal...
    96 KB (3,550 words) - 01:54, 25 September 2024
  • Gauss map in differential geometry.) It is named after Carl Gauss, Rodion Kuzmin, and Eduard Wirsing. It occurs in the study of continued fractions;...
    17 KB (3,078 words) - 05:23, 22 May 2024
  • Thumbnail for Padé table
    Padé table (category Continued fractions)
    used to derive Gauss's continued fraction can be applied to a certain confluent hypergeometric series to derive the following C-fraction expansion for...
    17 KB (2,242 words) - 18:28, 17 July 2024