Summing a common type of slowly convergent series of positive terms
- 1 December 1976
- journal article
- research article
- Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- Vol. 19 (4) , 416-421
- https://doi.org/10.1017/s0334270000001284
Abstract
If the terms of a series behave like n−k where k is an exactly known constant, a formula using two terms transforms the series into a series of terms like n−k −2 provided k ≠ 1. The multiple use of this transformation is demonstrated in summing three series.Keywords
This publication has 2 references indexed in Scilit:
- On a Procrustean technique for the numerical transformation of slowly convergent sequences and seriesMathematical Proceedings of the Cambridge Philosophical Society, 1956
- A method of summing infinite seriesJournal of Research of the National Bureau of Standards, 1952