Gauss's continued fraction is given by the continued
fraction

where
is a hypergeometric function. Many analytic
expressions for continued fractions of functions can be derived from this formula.

## See also

Continued Fraction
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## References

Borwein, J.; Bailey, D.; and Girgensohn, R. "Gauss's Continued Fraction." §1.8.3 in *Experimentation
in Mathematics: Computational Paths to Discovery.* Wellesley, MA: A K Peters,
pp. 31-34, 2004.Wall, H. S. "The Continued Fraction of
Gauss." Ch. 18 in *Analytic
Theory of Continued Fractions.* New York: Chelsea, pp. 335-361, 1948.## Referenced
on Wolfram|Alpha

Gauss's Continued Fraction
## Cite this as:

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

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