A Lehner continued fraction is a generalized
continued fraction of the form

where
or (2, )
for
an irrational number (Lehner 1994, Dajani and
Kraaikamp).

## See also

Generalized Continued
Fraction
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## References

Dajani, K. and Kraaikamp, C. "The Mother of All Continued Fractions." http://www.math.uu.nl/publications/preprints/1106.ps.gz.Lehner,
J. "Semiregular Continued Fractions whose Partial Denominators are 1 or 2."
In *The
Mathematical Legacy of Wilhelm Magnus: Groups, Geometry, and Special Functions. Conference
on the Legacy of Wilhelm Magnus May 1-3, 1992 (Brooklyn, NY)* (Ed. W. Abikoff,
J. S. Birman, and K. Kuiken). Providence, RI: Amer. Math. Soc., 1994.
## Cite this as:

Weisstein, Eric W. "Lehner Continued Fraction."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/LehnerContinuedFraction.html

## Subject classifications