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Published online by Cambridge University Press: 20 January 2009
It is proposed here to consider the sequence un determined by the relation
where, in particular,
and initially u1 = θ1. The following is the main result to be proved.
page 152 note 1 Knopp, , “Theory and Application of Infinite Series” (1928), 72.Google Scholar
page 152 note 2 Bromwich, , “Infinite Series” (1926), 427.Google Scholar
page 153 note 1 Proc. Edinburgh Math. Soc. (2), 3 (1932), 147–150.CrossRefGoogle Scholar
page 154 note 1 Copson and Ferrar, Journal London Math. Soc., 4 (1929), 258–264.Google Scholar
page 154 note 2 Bromwich, ibid., 414.
page 154 note 3 Proc. Edinburgh Math. Soc. (2), 3 (1932), 220–222.Google Scholar
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