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Sequence and Series Transformations

Published online by Cambridge University Press:  20 November 2018

M. S. Macphail
M. S. Macphail*
Affiliation:
Carleton University
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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