HOW THE PARAMETER ε INFLUENCE THE GROWTH RATES OF THE PARTIAL QUOTIENTS IN GCFε EXPANSIONS

Title & Authors
HOW THE PARAMETER ε INFLUENCE THE GROWTH RATES OF THE PARTIAL QUOTIENTS IN GCFε EXPANSIONS
Zhong, Ting; Shen, Luming;

Abstract
For generalized continued fraction (GCF) with parameter $\small{{\epsilon}(k)}$, we consider the size of the set whose partial quotients increase rapidly, namely the set E_{\epsilon}({\alpha}):
Keywords
$\small{GCF_{\epsilon}}$ expansion;Engel series expansion;parameter function;growth rates;Hausdorff dimension;
Language
English
Cited by
1.
Some dimension relations of the Hirst sets in regular and generalized continued fractions, Journal of Number Theory, 2016, 167, 128
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