For a simple continued fraction 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