Mathematics Atlas

How Proof Is Made
Sign In
Text size
100%
Theme
Mathematical Object

Euler's Continued Fraction Formula

Analysis

In the analytic theory of continued fractions, Euler's continued fraction formula is an identity connecting a very general infinite series to an infinite continued fraction. First published in 1748, it was originally understood as a simple identity linking a finite sum to a finite continued fraction, with the extension to the infinite case seen as immediately apparent; it is now valued as a tool in analytic work on the general convergence problem for infinite continued fractions with complex terms. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Object Kind
Equation 1
Origin Year
1748 1
First published in 1748
Connections

Is Kind Of Object

Equation, Concepts

Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

Named After

Leonhard Euler, Mathematicians

Derived from the object's own name (unambiguous possessive-token match to exactly one live mathematician entity, w-bfill-g5-0924 browse backfill)

Sources
1. Euler's Continued Fraction Formula (Wikipedia)
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.