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Stephen Wolfram
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Special Functions
>
Built-in
Mathematica
Symbol
Orthogonal Polynomials
Tutorials »
|
BesselJ
JacobiP
SphericalHarmonicY
Hypergeometric2F1
See Also »
|
Functions Used in Optics
Special Functions
New in 6.0: Mathematical Functions
New in 6.0: Mathematics & Algorithms
More About »
ZernikeR
ZernikeR
[
n
,
m
,
r
]
gives the radial Zernike polynomial
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
Explicit polynomials are given when possible.
The Zernike polynomials are orthogonal with weight
over the unit interval.
ZernikeR
can be evaluated to arbitrary numerical precision.
ZernikeR
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
Evaluate symbolically:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Scope
(4)
Applications
(1)
Properties & Relations
(1)
SEE ALSO
BesselJ
JacobiP
SphericalHarmonicY
Hypergeometric2F1
TUTORIALS
Orthogonal Polynomials
MORE ABOUT
Functions Used in Optics
Special Functions
New in 6.0: Mathematical Functions
New in 6.0: Mathematics & Algorithms
New in 6
© 2013 Wolfram Research, Inc.
.
over the unit interval.
EXAMPLES
Basic Examples 
Scope 