Continued fractions. Vol. 1: Convergence theory. 2nd ed
Periodiccontinuedfractionsarewellunderstood.Wecandeterminewhentheyconverge,whentheydiverge,theirvaluesiftheyconvergeandtheasymptoticbehavioroftheirtailsequences.Indeed,itisallamatterofiterationsoflinearfractionaltransformations,andwehaveclosedexpressionsfortheirapproximantsSn(w).
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