Some Circular Regions of Convergence for Branched Continued Fractions of a Special Form

Verfasser / Beitragende:
[O. Baran]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 205/4(2015-03-01), 491-500
Format:
Artikel (online)
ID: 60552209X
LEADER caa a22 4500
001 60552209X
003 CHVBK
005 20210128100743.0
007 cr unu---uuuuu
008 210128e20150301xx s 000 0 eng
024 7 0 |a 10.1007/s10958-015-2262-3  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2262-3 
100 1 |a Baran  |D O.  |u Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine  |4 aut 
245 1 0 |a Some Circular Regions of Convergence for Branched Continued Fractions of a Special Form  |h [Elektronische Daten]  |c [O. Baran] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/4(2015-03-01), 491-500  |x 1072-3374  |q 205:4<491  |1 2015  |2 205  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2262-3  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2262-3  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Baran  |D O.  |u Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/4(2015-03-01), 491-500  |x 1072-3374  |q 205:4<491  |1 2015  |2 205  |o 10958