Wolfram|Alpha Mathematics

Continued Fractions

Numbers

find the continued fraction representation of a number
continued fraction 12/67 continued fraction sqrt(2) continued fraction pi

Functions

find continued fraction representations of a function
continued fraction sqrt(1+x^2) continued fraction tan x continued fractions for BesselJ hypergeometric cf identities

Definitions of Terms

find definitions of continued fraction terminology
what is a regular continued fraction common notations for continued fractions Gauss-Kuzmin-Wirsing operator C-dual convergents What is a modified Stieltjes fraction?

Theorems

get information about a continued fraction theorem
Worpitzky theorem Hamburger convergence theorem Euler-Minding formula Seidel multiplication theorem circular convergence theorem Zaremba conjecture
find theorems that apply to a specified expression
apply continued fraction theorems to sqrt(7)
find theorems by application
cf theorems that hold for regular continued fractions continued fraction theorems involving almost all real numbers continued fraction results involving quadratic irrationals
find theorems by prover
Euler's continued fraction theorems Lagrange's continued fraction theorems

Algorithms

get information about a continued fraction algorithm
backward algorithm for a continued fraction nearest integer continued fraction expansion algorithm Hurwitz continued fraction algorithm Schmidt algorithm Jacobi-Perron algorithm

Literature

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continued fraction papers by Stern
find continued fraction papers by publication
continued fraction papers published in the Monthly

Interactive Visualizations

explore continued fraction results with interactive visualizations
Khinchin constant law interactive plot visualization of Gauss map representation of a continued fraction