Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-13T10:34:27.631Z Has data issue: false hasContentIssue false

A pretty series revisited

Published online by Cambridge University Press:  13 October 2021

Seán M. Stewart*
Affiliation:
9 Tanang Street, Bomaderry NSW 2541, Australia, e-mail: sean.stewart@physics.org

Extract

In the May 1954 issue of the Gazette Daniel F. Ferguson challenged readers to devise their own proof for what he described as a curious and somewhat pleasing sum (see [1])

Type
Articles
Copyright
© The Mathematical Association 2021

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ferguson, D. F., A pretty series, Math. Gaz. 38 (May 1954) p. 138.10.2307/3609847CrossRefGoogle Scholar
Ferguson, D. F., Value of π, Nature 157 (March 1946) p. 342.CrossRefGoogle Scholar
Ferguson, D. F., Evaluation of π: are Shanks' figures correct? Math.Gaz. 30 (May 1946) pp. 89-90.CrossRefGoogle Scholar
Hammond, C. N. B., The case for Raabe's test, Math. Mag. 93 (February 2020) pp. 36-46.CrossRefGoogle Scholar
Watson, G. N., A pretty series, Math. Gaz. 39 (December 1955) p. 297.Google Scholar
Whittaker, E. T. and Watson, G. N., A course of modern analysis (4th edition), Cambridge University Press (1927).Google Scholar
Hope-Jones, W., A pretty series, Math. Gaz. 41 (February 1957) pp. 47-48.Google Scholar
Heselden, G. P. M., The sum of a certain series involving binomial coefficients, Math. Gaz. 41 (December 1957) pp. 280-282.10.1017/S0025557200236140CrossRefGoogle Scholar
Andrews, G. E., Askey, R. and Roy, R., Special functions, Cambridge University Press (1999).Google Scholar