Some Hankel Transform Pairs
for -2 |
|
, z may be any complex number | |
is a modified Bessel function of the second kind. The expression coincides with the expression for the Laplace operator in polar coordinates applied to a spherically symmetric function .
The Hankel transform of Zernike polynomials are essentially Bessel Functions (Noll 1976):
for even .
Read more about this topic: Hankel Transform
Famous quotes containing the word transform:
“The source of our actions resides in an unconscious propensity to regard ourselves as the center, the cause, and the conclusion of time. Our reflexes and our pride transform into a planet the parcel of flesh and consciousness we are.”
—E.M. Cioran (b. 1911)