Hanus, PawelUrbanski, Mariusz2019-03-192019-03-191998-10-19Hanus, P. & Urbanski, M. (1998). Complex continued fractions with restricted entries. <i>Electronic Journal of Differential Equations, 1998</i>(27), pp. 1-9.1072-6691https://hdl.handle.net/10877/7932We 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.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalIterated function systemsComplex continued fractionsHausdorff dimensionHausdorff measurePacking measureComplex Continued Fractions with Restricted EntriesArticle