Abel Transform
The following Integral Transform relationship, known as the Abel transform, exists between two functions 
and
for 
,
 |  |  | (1) |
 | |  | (2) |
|  | (3) |
The Abel transform is used in calculating the radial mass distribution of galaxies
and inverting planetary radio occultation data to obtain atmospheric information.
References
Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 875-876, 1985. Binney, J. and Tremaine, S. Galactic Dynamics. Princeton, NJ: Princeton University Press, p. 651, 1987. Bracewell, R. The Fourier Transform and Its Applications. New York: McGraw-Hill, pp. 262-266, 1965.
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