Reference numberRR/16/259
TitleReferee's report by Ernest William Hobson, on a paper 'The asymptotic expansion of integral functions defined by Taylor's series' by Ernest William Barnes
DateNovember 1905
DescriptionSectional 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.
Physical descriptionStandardised form (type A)
Digital imagesView item on Science in the Making
Access statusOpen
Related materialDOI: 10.1098/rsta.1906.0019
Related records in the catalogueRR/16/258
Fellows associated with this archive
NA2170Hobson; Ernest William (1856 - 1933)1856 - 1933
NA1227Barnes; Ernest William (1874 - 1953)1874 - 1953
Add to My Items

    Collection highlights

    Browse the records of some of our collections, which cover all branches of science and date from the 12th century onwards. These include the published works of Fellows of the Royal Society, personal papers of eminent scientists, letters and manuscripts sent to the Society or presented at meetings, and administrative records documenting the Society's activities since our foundation in 1660.

    The Royal Society

    The Royal Society is a Fellowship of many of
    the world's most eminent scientists and is the
    oldest scientific academy in continuous existence.
    Registered charity number 207043

    Website design ©CalmView


    + 44 207 451 2500
    (Lines open Mon-Fri, 9:00-17:00. Excludes bank holidays)

    6-9 Carlton House Terrace, London SW1Y 5AG

    Email Us →


    Subscribe to our newsletters to be updated with the
    latest news on innovation, events, articles and reports.

    Subscribe →

    © CalmView