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
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
Hypergeometric function (redirect from Gauss's hypergeometric theorem)
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
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...
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List of mathematical constants (redirect from Mathematical constants by continued fraction representation)
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
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