Continued fractions

expression of a rational as an iterative sequence of addition and inversion of integers

mathematical equation, specifically a kind of Diophantine equation

types of special mathematical functions

list containing mathematical constants

mathematical constant

infinite complete binary tree whose nodes correspond to the positive rational numbers

decomposition of a positive real number into a series of unit fractions, each an integer multiple of the next one

fractal-like continuous function that maps quadratic irrationals to rationals, and rationals to dyadic rationals

distribution of values in the continued fraction of a random real number

connects a very general infinite series with an infinite continued fraction.

generalization of continued fractions in which the partial numerators and partial denominators can assume arbitrary complex values

theorem

infinite periodic continued fraction

Continued fraction closely related to the Rogers–Ramanujan identities

mathematical concept

mathematical concept

mathematical theorem related to fractions

Mathematical transformation