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About: Generalized continued fraction     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:RealNumber113729902, within Data Space : dbpedia.org associated with source document(s)

Type: yago:WikicatContinuedFractionsyago:Abstraction100002137yago:ComplexNumber113729428yago:ContinuedFraction113736550yago:DefiniteQuantity113576101yago:Fraction113732078yago:Measure100033615yago:Number113582013yago:RationalNumber113730469yago:RealNumber113729902 New Facet based on Instances of this Class

In complex analysis, a branch of mathematics, a generalized continued fraction is a generalization of regular continued fractions in canonical form, in which the partial numerators and partial denominators can assume arbitrary complex values. A generalized continued fraction is an expression of the form where the an (n > 0) are the partial numerators, the bn are the partial denominators, and the leading term b0 is called the integer part of the continued fraction. The successive convergents of the continued fraction are formed by applying the fundamental recurrence formulas: with initial values