§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)
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.