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Lehner Continued Fraction

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

b_0+(e_1)/(b_1+(e_2)/(b_2+(e_3)/(b_3+...)))

where (b_i,e_(i+1))=(1,1) or (2, -1) for x in [1,2) 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

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