Geodesic
On Neumann's Formula for the Legendre Functions
Glasgow mathematical journal, Tome 1 (1952) no. 1, pp. 10-12

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§1. Introductory. The formulawhere w is zero or a positive integer and | ζ | > 1, was given by F. E. Neumann “Crelle's Journal, XXXVII (1848), p. 24”. In § 2 of this paper some related formulae are given; the extension to the case when n is not integral is dealt with in § 3; while in § 4 the corresponding formulae for the Associated Legendre Functions when the sum of the degree and the order is a positive integer are established. 
Macrobert, T. M. On Neumann's Formula for the Legendre Functions. Glasgow mathematical journal, Tome 1 (1952) no. 1, pp. 10-12. doi: 10.1017/S204061850003286X
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[page 11 note *] page 11 note * Cf. Phil. Mag., Ser. 7, XXXV (1944), p. 673–6Google Scholar.

[page 12 note *] page 12 note * Cf. Gormley, P. G., Journal of the London Math. Soc., IX. (1933), 149Google Scholar.

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