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DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Special Functions
>
Spheroidal and Related Functions
>
Built-in
Mathematica
Symbol
Spheroidal Functions
Tutorials »
|
SpheroidalS2
SphericalBesselJ
SpheroidalRadialFactor
See Also »
|
Functions for Separable Coordinate Systems
Functions Used in Quantum Mechanics
Mathematical Functions
Special Functions
Spheroidal and Related Functions
New in 6.0: Mathematical Functions
New in 6.0: Mathematics & Algorithms
More About »
SpheroidalS1
SpheroidalS1
[
n
,
m
,
,
z
]
gives the radial spheroidal function
of the first kind.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
The radial spheroidal functions satisfy the differential equation
with the spheroidal eigenvalue
given by
SpheroidalEigenvalue
[
n
,
m
,
]
.
The
are normalized according to the Meixner-Schäfke scheme.
SpheroidalS1
can be evaluated to arbitrary numerical precision.
SpheroidalS1
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Evaluate numerically:
In[1]:=
Out[1]=
Scope
(5)
Applications
(3)
Possible Issues
(1)
SEE ALSO
SpheroidalS2
SphericalBesselJ
SpheroidalRadialFactor
TUTORIALS
Spheroidal Functions
MORE ABOUT
Functions for Separable Coordinate Systems
Functions Used in Quantum Mechanics
Mathematical Functions
Special Functions
Spheroidal and Related Functions
New in 6.0: Mathematical Functions
New in 6.0: Mathematics & Algorithms
New in 6