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The Royal Society: Science in the Making

Unpublished paper, 'On certain functions connected with tesseral harmonics, with applications' by A H [Arthur Herbert] Leahy

Reference number: AP/70/8

Date: 1894

Description

The transformation of a zonal harmonic referred to a pole on a sphere to another pole on the same sphere, and its expression in a series containing the 2n + 1 harmonics of the same order referred to this new pole, is an operation frequently employed in physical research. The purpose of this paper is the investigation of certain functions of the angular distance between the poles which occur when a general tesseral harmonic is transformed from one pole and plane to another pole and another plane of reference.

Includes eight geometrical diagrams and a detailed table of contents.

Subject: Mathematics

Received 24 March 1894. Read 24 May 1894. Communicated by [William Mitchinson] Hicks.

Whilst the Royal Society declined to publish this paper in full, an abstract of the paper was published in volume 56 of the Proceedings of the Royal Society as 'On certain functions connected with tesseral harmonics, with applications'.

Reference number
AP/70/8
Earliest possible date
1894
Physical description
Ink on paper
Page extent
93 pages
Format
Manuscript
Diagram

Creator name

Arthur Herbert Leahy

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Citation

Arthur Herbert Leahy, Unpublished paper, 'On certain functions connected with tesseral harmonics, with applications' by A H [Arthur Herbert] Leahy, 1894, AP/70/8, The Royal Society Archives, London, https://makingscience.royalsociety.org/items/ap_70_8/unpublished-paper-on-certain-functions-connected-with-tesseral-harmonics-with-applications-by-a-h-arthur-herbert-leahy, accessed on 22 January 2025

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    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is comprised of original manuscript scientific papers and letters submitted to the Royal Society which remained unpublished or were abstracted in the journal 'Proceedings of the Royal Society' published from 1830 onwards.

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