Unpublished paper, 'On the Abelian systems of differential equations, and their rational and integral algebraic integrals, with a discussion of the periodicity of their Abelian functions' by W R [William Ralph] Westropp Roberts
Reference number: AP/71/3
Date: 1895
Description
Before entering on the discussion of the Abelian system of differential equations, Roberts treats of some general algebraic theorems having reference to the differences of various sets of 'facients', and gives a wider definition to the term 'source', hitherto used to signify the source of a covariant, and treat of two operators, δ and ∆. He then shows how, by forming a 'square-matrix', all the conditions can be obtained which are fulfilled when a polynomial f(2) of the degree 2n in z is a perfect square. With regard to these conditions, Roberts remarks that any one of them being given all the others can be found by successive operations of the operator δ.
Subject: Mathematics / Algebra
Received 17 January 1895. Read 7 February 1895. Communicated by G [George] Salmon.
Whilst the Royal Society declined to publish this paper in full, an abstract of the paper was published in volume 57 of the Proceedings of the Royal Society as 'On the Abelian system of differential equations, and their rational and integral algebraic integrals, with a discussion of the periodicity of Abelian functions'.
- Reference number
- AP/71/3
- Earliest possible date
- 1895
- Physical description
- Ink on paper
- Page extent
- 70 pages
- Format
- Manuscript
Creator name
William Ralph Westropp Roberts
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William Ralph Westropp Roberts, Unpublished paper, 'On the Abelian systems of differential equations, and their rational and integral algebraic integrals, with a discussion of the periodicity of their Abelian functions' by W R [William Ralph] Westropp Roberts, 1895, AP/71/3, The Royal Society Archives, London, https://makingscience.royalsociety.org/items/ap_71_3/unpublished-paper-on-the-abelian-systems-of-differential-equations-and-their-rational-and-integral-algebraic-integrals-with-a-discussion-of-the-periodicity-of-their-abelian-functions-by-w-r-william-ralph-westropp-roberts, accessed on 10 October 2024
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Related Publications
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II. On the Abelian system of differential equations, and their rational and integral algebraic integrals, with a discussion of the periodicity of Abelian functions External link, opens in new tab.
Date: 31st December 1895
DOI: 10.1098/rspl.1894.0154
Hierarchy
This item is part of:
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Archived papers: volume 71, scientific papers submitted the Royal Society unpublished or abstracted, 1894-1895
1894-1895 Reference number: AP/71
Related Fellows
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George Salmon
Communicator
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Archived Papers
Dates: 1768-1989
The 'Archived Papers' collection is comprised of original manuscript scientific papers and letters submitted to the Royal Society which remained unpublished or were abstracted in the journal 'Proceedings of the Royal Society' published from 1830 onwards.View collection