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The two-dimensional -fraction with independent variables for double power series
- Source :
-
Journal of Approximation Theory . Dec2012, Vol. 164 Issue 12, p1520-1539. 20p. - Publication Year :
- 2012
-
Abstract
- Abstract: In this paper the two-dimensional -fraction with independent variables which is the generalization of the continued -fraction is considered. The correspondence between the formal double power series and the above mentioned fraction is studied. As a result the algorithm for the expansion of the formal double power series into the corresponding two-dimensional -fraction with independent variables has been constructed and the conditions for the existence of such an algorithm have been established. The expansion of some functions into the corresponding two-dimensional -fraction with independent variables is constructed and the efficiency of the obtained expansion by using approximants is shown. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00219045
- Volume :
- 164
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Journal of Approximation Theory
- Publication Type :
- Academic Journal
- Accession number :
- 82612958
- Full Text :
- https://doi.org/10.1016/j.jat.2012.09.002