caa a22 4500 60552209X CHVBK 20210128100743.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10958-015-2262-3 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2262-3 Baran O. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut Some Circular Regions of Convergence for Branched Continued Fractions of a Special Form [Elektronische Daten] [O. Baran] For branched continued fractions of a special form, we obtain circular regions of convergence. These regions are related to the multidimensional generalizations of some well-known theorems (W. Leighton, H. S. Wall, W. J. Thron, L. J. Lange, J. Mc Laughlin, and N. J. Wyshinski) on twin convergence regions for continued fractions. In the case where a branched continued fraction is transformed into a continued fraction (N = 1), the obtained circular regions can of convergence be wider (under certain conditions imposed on the parameters) than some known twin convergence regions for continued fractions. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/4(2015-03-01), 491-500 1072-3374 205:4<491 2015 205 10958 https://doi.org/10.1007/s10958-015-2262-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2262-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Baran O. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/4(2015-03-01), 491-500 1072-3374 205:4<491 2015 205 10958