On the summation of some divergent hypergeometric series and related perturbation expansions (Q1814628)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the summation of some divergent hypergeometric series and related perturbation expansions |
scientific article; zbMATH DE number 6963
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the summation of some divergent hypergeometric series and related perturbation expansions |
scientific article; zbMATH DE number 6963 |
Statements
On the summation of some divergent hypergeometric series and related perturbation expansions (English)
0 references
25 June 1992
0 references
The author examines the application of various summability methods to some special cases of the divergent hypergeometric series \({_ 2F_ 0}(a,b;-1/z)\). The epsilon algorithm, which produces a sequence of Padé approximants, is compared with algorithms due to Levin and the current author. In the cases tested it was found, surprisingly, that the Padé is inferior to the other methods.
0 references
Levin transformation
0 references
asymptotic series
0 references
summability
0 references
epsilon algorithm
0 references
hypergeometric functions
0 references
0 references
0.9069842
0 references
0.90058696
0 references
0.8932548
0 references
0.89308476
0 references
