Some Circular Regions of Convergence for Branched Continued Fractions of a Special Form
Gespeichert in:
Verfasser / Beitragende:
[O. Baran]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 205/4(2015-03-01), 491-500
Format:
Artikel (online)
Online Zugang:
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| 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 | |
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| 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 | ||