Geodesic
Dual Trigonometrical Series
Glasgow mathematical journal, Tome 4 (1959) no. 2, pp. 49-57

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In a recent joint paper with J. C. Cooke [1], we have given a method of determining the coefficients an in the “dual” Fourier-Bessel serieswhere −1 ≤p≤, F(r) is specified and αn is a positive root of Jv(αnα) = 0. This method reduced the problem to the solution of an infinite set of algebraical equations and it was shown that, under certain circumstances, numerical values for the coefficients could be obtained fairly readily. 
Tranter, C. J. Dual Trigonometrical Series. Glasgow mathematical journal, Tome 4 (1959) no. 2, pp. 49-57. doi: 10.1017/S2040618500033876
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