Euler's Continued Fraction

Euler's continued fraction is the name given by Borwein et al. (2004, p. 30) to Euler's formula for the inverse tangent,


An even more famous continued fraction related to Euler which is perhaps a more appropriate recipient of the appellation "Euler's continued fraction" is the simple continued fraction for e, namely


See also

Continued Fraction, e Continued Fraction, Inverse Tangent

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Borwein, J.; Bailey, D.; and Girgensohn, R. "Euler's Continued Fraction." §1.8.2 in Experimentation in Mathematics: Computational Paths to Discovery. Wellesley, MA: A K Peters, p. 30, 2004.

Referenced on Wolfram|Alpha

Euler's Continued Fraction

Cite this as:

Weisstein, Eric W. "Euler's Continued Fraction." From MathWorld--A Wolfram Web Resource.

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