A recurrence relation generalizing those of Apéry
Open Access
- 1 February 1984
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
- Vol. 36 (2) , 267-278
- https://doi.org/10.1017/s1446788700024691
Abstract
A three term recurrence relation is found for when a + d = b + c. This includes the recurrence relations of Apéry associated with ζ(3), ζ(2) and log 2 as special or limiting cases.Keywords
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