Referee's report by Ernest William Hobson, on a paper 'The asymptotic expansion of integral functions defined by Taylor's series' by Ernest William Barnes

Description

Sectional Committee: Botany

Recommended for publication in Philosophical Transactions. It would be difficult to select portions of the paper for publication so that if it is to be published at all, it should be in full. The paper consists of a study of the asymptotic expansions corresponding to specially selected cases of Taylor's series, with a view to finding out as much as possible of the nature of the functions represented by the series. The paper must be regarded as a preliminary study with a great deal more to follow if any important general results are to be arrived at. The amount of space which might be devoted to detailed discussions of this kind is practically endless. Though he cannot say the paper falls below the standard for the 'Transactions', he thinks a general question of policy arises for the consideration of the Committee regarding the limit of printing such papers. The work is interesting to a very small class of specialists but hardly to mathematicians in general.

[Published in Philosophical Transactions A, 1906].

Endorsed on verso as received 23 November 1905.

Reference number

RR/16/259

Earliest possible date

November 1905

Physical description

Standardised form (type A)

Page extent

2 pages

Format

Manuscript