On a New Continued Fraction Expansion with Non-Decreasing Partial Quotients
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We investigate metric properties of the digits occurring in a new continued fraction expansion with non-decreasing partial quotients, the so-called Engel continued fraction (ECF) expansion.
2000 Mathematics Subject Classifications: 11K55, 11T06; 28A80
Key words: Engel continued fraction expansion, metric property, Hausdorff dimension
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© Springer-Verlag/Wien 2004