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DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Special Functions
>
Hypergeometric Functions
>
Built-in
Mathematica
Symbol
Special Functions
Tutorials »
|
WhittakerW
HypergeometricU
Hypergeometric1F1
HermiteH
See Also »
|
Hypergeometric Functions
New in 6.0: Mathematical Functions
New in 6.0: Mathematics & Algorithms
More About »
ParabolicCylinderD
ParabolicCylinderD
[
,
z
]
gives the parabolic cylinder function
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
satisfies the Weber differential equation
.
For certain special arguments,
ParabolicCylinderD
automatically evaluates to exact values.
ParabolicCylinderD
can be evaluated to arbitrary numerical precision.
ParabolicCylinderD
automatically threads over lists.
ParabolicCylinderD
[
,
z
]
is an entire function of
z
with no branch cut discontinuities.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
Plot
:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Scope
(6)
Generalizations & Extensions
(2)
Applications
(1)
Properties & Relations
(2)
SEE ALSO
WhittakerW
HypergeometricU
Hypergeometric1F1
HermiteH
TUTORIALS
Special Functions
MORE ABOUT
Hypergeometric Functions
New in 6.0: Mathematical Functions
New in 6.0: Mathematics & Algorithms
New in 6
, z]
. 
satisfies the Weber differential equation 
. , z] is an entire function of z with no branch cut discontinuities.
EXAMPLES
Basic Examples 
Scope 