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.
- Integral Domain
- Integral Drawing
- Integral Equation
- Integral of Motion
- Integral Sign
- Integral Test
- Integral Transform
- Integrand
- Integrating Factor
- Integration
- Integration by Parts
- Integration Lattice
- Intension
- Interchange Graph
- Interest
- Interior
- Interior Angle Bisector
- Intermediate Value Theorem
- Internal Bisectors Problem
- Internal Knot
- Interpolation
- Interquartile Range
- Interradius
- Intersection
- Interspersion