Complex Continued Fractions with Restricted Entries

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dc.contributor.authorHanus, Pawel
dc.contributor.authorUrbanski, Mariusz
dc.date.accessioned2019-03-19T16:50:56Z
dc.date.available2019-03-19T16:50:56Z
dc.date.issued1998-10-19
dc.description.abstractWe study special infinite iterated function systems derived from complex continued fraction expansions with restricted entries. We focus our attention on the corresponding limit set whose Hausdorff dimension will be denoted by h. Our primary goal is to determine whether the h-dimensional Hausdorff and packing measure of the limit set is positive and finite.
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationHanus, P. & Urbanski, M. (1998). Complex continued fractions with restricted entries. <i>Electronic Journal of Differential Equations, 1998</i>(27), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7932
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectIterated function systems
dc.subjectComplex continued fractions
dc.subjectHausdorff dimension
dc.subjectHausdorff measure
dc.subjectPacking measure
dc.titleComplex Continued Fractions with Restricted Entries
dc.typeArticle

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