The inversion of Hankel transforms of order zero and unity
Glasgow mathematical journal, Tome 10 (1969) no. 2, pp. 156-161

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In teaching the elements of transform theory to students of physics and engineering it is very useful to have available, as early as possible, the inversion theorem for the Hankel transformThe difficulty is that a valid proof for general values of v (cf. [1], p. 456) is complicated and involves a greater familiarity with the processes of analysis and the properties of Bessel functions than is possessed by most science students.
Sneddon, Ian N. The inversion of Hankel transforms of order zero and unity. Glasgow mathematical journal, Tome 10 (1969) no. 2, pp. 156-161. doi: 10.1017/S0017089500000720
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[1] 1.Watson, G. N., A treatise on the theory of Bessel functions, 2nd edition (Cambridge, 1944). Google Scholar

[2] 2.Titchmarsh, E. C., Introduction to the theory of Fourier integrals (Oxford, 1937). Google Scholar

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