Geodesic
A generalization of Sonine's first finite integral
Glasgow mathematical journal, Tome 6 (1963) no. 2, pp. 97-98

Voir la notice de l'article provenant de la source Cambridge University Press

In this note I show thatwhere Jdenotes the Bessel function of the first kind of the orders and arguments indicated, n = 0, 1, 2, 3, ... and the real parts of both μand v exceed — 1. This is a generalization of Sonine's first finite integral [1, p. 373] to which it reduces in the special case n = 0. 
Tranter, C. J. A generalization of Sonine's first finite integral. Glasgow mathematical journal, Tome 6 (1963) no. 2, pp. 97-98. doi: 10.1017/S2040618500034791
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[1] 1.Watson, G. N., Theory of Bessel functions (Cambridge, 1944). Google Scholar

[2] 2.Magnus, W. and Oberhettinger, F. (translated by Wermer, J.), Special functions of mathematical physics (New York, 1949). Google Scholar

[3] 3.Tranter, C. J., Integral transforms in mathematical physics (Methuen, 1956). Google Scholar

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