HOW THE PARAMETER ε INFLUENCE THE GROWTH RATES OF THE PARTIAL QUOTIENTS IN GCFεEXPANSIONS

DOI10.4134/JKMS.2015.52.3.637zbMath1372.11084OpenAlexW2462195758MaRDI QIDQ5253405

Ting Zhong, Lu-Ming Shen

Publication date: 22 May 2015

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=412641

zbMATH Keywords

growth ratesHausdorff dimensionparameter functionEngel series expansionGCF\(_{\varepsilon}\) expansion

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78) Metric theory of continued fractions (11K50)

Related Items (3)

Some dimension relations of the Hirst sets in regular and generalized continued fractions ⋮ Dimension of level sets in GCF expansion with parameters ⋮ How the dimension of some \(\mathrm{GCF}_{\varepsilon}\) sets change with proper choice of the parameter function \(\varepsilon(k)\)

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