Proceedings of the Edinburgh Mathematical Society
- Proceedings of the Edinburgh Mathematical Society / Volume 44 / February 1925, pp 22-25
- Copyright © Edinburgh Mathematical Society 1925
- DOI: http://dx.doi.org/10.1017/S0013091500034313 (About DOI), Published online: 20 January 2009
Research Article
Note on Whittaker's Solution of Laplace's Equation
E. T. Copson
§1. Whittaker has shewn that a general solution of Laplace's Equation
may be put in the form
where f (v, u) denotes an arbitrary function of the two variables u and v; such a representation is valid only in the neighbourhood of a regular point.
(Received February 01 1925)
(Accepted February 05 1925)
Notes
page 22 note * Math. Ann. 57, (1902), 333.
page 23 note * See Whittaker and Watson: Modern Analysis (3rd Edn). 329. We are using Hobson's definition (Phil. Trans. A 187 (1896)) [OpenURL Query Data] [Google Scholar] of the associated functions.
page 24 note * Loc. cit., 499.
page 24 note † Watson, G. N.: Camb. Phil. Trans., 22, (1918), 277–308. [OpenURL Query Data] [Google Scholar]
