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Published online by Cambridge University Press: 20 January 2009
§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.
page 22 note * Math. Ann. 57, (1902), 333.Google Scholar
page 23 note * See Whittaker, and Watson, : Modern Analysis (3rd Edn). 329.Google Scholar We are using Hobson's definition (Phil. Trans. A 187 (1896))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.Google Scholar