The following Integral Transform relationship, known as the Abel transform, exists between two functions and
for ,
(1) | |||
(2) | |||
(3) |
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.