CONVERGENCE CRITERION FOR AN INFINITE CONTINUED-FRACTION REVISITED

Authors
JO SG HWANG JH CHOI SD
Citation
Sg. Jo et al., CONVERGENCE CRITERION FOR AN INFINITE CONTINUED-FRACTION REVISITED, Journal of the Korean Physical Society, 32(5), 1998, pp. 651-654
Citations number
24
Categorie Soggetti
Physics
Journal title
Journal of the Korean Physical Society → ACNP
ISSN journal
03744884
Volume
32
Issue
5
Year of publication
1998
Pages
651 - 654
Database
ISI
SICI code
0374-4884(1998)32:5<651:CCFAIC>2.0.ZU;2-2
Abstract
We discuss the convergence conditions Delta(n) similar to n(p), p bein g an integer, in the continued fraction sequence f(z; Delta(1), Delta( 2), Delta(3), ...) derived by Lee's recurrence method for nonvanishing real z. In addition to the convergence for p = 1 discussed in our pre vious work, we find that the sequence always converges for p = 2; the convergence is shown to hold in some cases for p > 2.