As Gauss showed in 1812, the hyperbolic tangent
can be written using a continued fraction as

(Wall 1948, p. 349; Olds 1963, p. 138).

## See also

Continued Fraction,

Hyperbolic
Tangent
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## References

Olds, C. D. *Continued Fractions.* New York: Random House, 1963.Wall, H. S. *Analytic
Theory of Continued Fractions.* New York: Chelsea, 1948.## Referenced
on Wolfram|Alpha

Lambert's Continued Fraction
## Cite this as:

Weisstein, Eric W. "Lambert's Continued Fraction."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/LambertsContinuedFraction.html

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