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The inversion of Hankel transforms of order zero and unity

Published online by Cambridge University Press:  18 May 2009

Ian N. Sneddon
Ian N. Sneddon
Affiliation:
University of Glasgow
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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 transform

The 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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 10 , Issue 2 , July 1969 , pp. 156 - 161
Copyright
Copyright © Glasgow Mathematical Journal Trust 1969

References

REFERENCES

1.Watson, G. N., A treatise on the theory of Bessel functions, 2nd edition (Cambridge, 1944).Google Scholar
2.Titchmarsh, E. C., Introduction to the theory of Fourier integrals (Oxford, 1937).Google Scholar