Geodesic
Generalisation of an Integral due to Hardy
Glasgow mathematical journal, Tome 1 (1953) no. 3, pp. 115-117

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§ 1. Introductory. The integralwhere b>0, was given by Hardy (1). It was proved by applying Mellin's inversion formula. An alternative proof, based on the differential equationsatisfied by Kn(x), has been given by the author (2). 
Ragab, Fouad M. Generalisation of an Integral due to Hardy. Glasgow mathematical journal, Tome 1 (1953) no. 3, pp. 115-117. doi: 10.1017/S2040618500035565
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[(1)] (1)Hardy, G. H., Mess, of Maths., 56, 190 (1927). Google Scholar

[(2)] (2)Ragab, F. M., Proc. Glasg. Math. Ass., 1, 72 (1952). Google Scholar | DOI

[(3)] (3)Gray, , Mathews, and MacRobert, , Bessel Functions, p. 66. Google Scholar

[(4)] (4)MacRobert, T. M., Complex Variable, p. 154. Google Scholar

[(5)] (5)Watson, G. N., Bessel Functions, p. 437. Google Scholar

[(6)] (6)MacRobert, T. M., Complex Variable (3rd ed.), p. 372. Google Scholar

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