Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-03T01:20:38.913Z Has data issue: false hasContentIssue false
  • English
  • Français

Sequence and Series Transformations

Published online by Cambridge University Press:  20 November 2018

M. S. Macphail
M. S. Macphail*
Affiliation:
Carleton University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The summability methods

where bnk=ank+an,k+1+ …,are regarded as the sequenceto-sequence and series-to-sequence forms of the same method, and if sk=uo + … + uk, we speak of the series or the sequence {sk} indifferently, as summable A or B.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 3 , Issue 1 , 01 January 1960 , pp. 80 - 83
Copyright
Copyright © Canadian Mathematical Society 1960

References

1. Knopp, K., Theory and Application of Infinite Series (London, 1928).Google Scholar
2. Vermes, P., Series to series transformations and analytic continuation by matrix methods. Amer. J. Math. 71 (1949), 541-562.Google Scholar
3. Zeller, K., Théorie der Limitierungsverfahren (Berlin, 1958).Google Scholar