A new summation method for power series with rational coefficients

Citation
S. Dassie et al., A new summation method for power series with rational coefficients, MATH COMPUT, 69(230), 2000, pp. 749-756
Citations number
12
Categorie Soggetti
Mathematics
Journal title
MATHEMATICS OF COMPUTATION
ISSN journal
00255718 → ACNP
Volume
69
Issue
230
Year of publication
2000
Pages
749 - 756
Database
ISI
SICI code
0025-5718(200004)69:230<749:ANSMFP>2.0.ZU;2-5
Abstract
We show that an asymptotic summation method, recently proposed by the autho rs, can be conveniently applied to slowly convergent power series whose coe fficients are rational functions of the summation index Several numerical e xamples are presented.