Hostname: page-component-77c89778f8-gvh9x Total loading time: 0 Render date: 2024-07-17T10:16:55.607Z Has data issue: false hasContentIssue false

On the (f, dn)-Method of Summability

Published online by Cambridge University Press:  20 November 2018

Gaston Smith*
Affiliation:
Hattiesburg, Mississippi
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.

Let f(z) be a non-constant entire function and let {dn} be a sequence of complex numbers such that

The set of equations

(1.1)

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1965

References

1. Agnew, R. P., Euler transformations, Amer. J. Math., 66 (1944), 318338.Google Scholar
2. Agnew, R. P., The Lototsky method for the evaluation of series, Michigan Math. J., 4 (1957), 105128.Google Scholar
3. Cowling, V. F. and Miracle, C. L., Some results for the generalized Lototsky transform, Can. J. Math., 14 (1962), 418435.Google Scholar
4. Jakimovski, A., A generalization of the Lototsky method, Michigan Math. J., 6 (1959), 270 290.Google Scholar
5. Okada, Y., Ueber die Annaherung analytischer Funktionen, Math. Z., 23 (1925), 6271.Google Scholar
6. Vuckovic, V., The mutual inclusion of Karamata-Stirling methods of summation, Michigan Math. J., 6 (1959), 291297.Google Scholar