For a simple continued fraction ![x=[a_0,a_1,...]](/images/equations/ContinuedFractionFundamentalRecurrenceRelation/Inline1.svg)
with convergents 
, the fundamental recurrence
relation is given by
 |
Continued Fraction Fundamental Recurrence Relation
See also
Simple Continued Fraction, Continued FractionExplore with Wolfram|Alpha
References
Olds, C. D. Continued Fractions. New York: Random House, p. 27, 1963.Referenced on Wolfram|Alpha
Continued Fraction Fundamental Recurrence RelationCite this as:
Weisstein, Eric W. "Continued Fraction Fundamental Recurrence Relation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ContinuedFractionFundamentalRecurrenceRelation.html