Continued Logarithms and Associated Continued Fractions

Abstract

We investigate some of the connections between continued fractions and continued logarithms. We study the binary continued logarithms as introduced by Bill Gosper and explore two generalizations of the continued logarithm to base b. We show convergence for them using equivalent forms of their corresponding continued fractions. Through numerical… (More)
DOI: 10.1080/10586458.2016.1195307

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