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HermiteH
HermiteH
[
n
,
x
]
gives the Hermite polynomial
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
Explicit polynomials are given for non-negative integers
n
.
The Hermite polynomials satisfy the differential equation
.
They are orthogonal polynomials with weight function
in the interval
.
For certain special arguments,
HermiteH
automatically evaluates to exact values.
HermiteH
can be evaluated to arbitrary numerical precision.
HermiteH
automatically threads over lists.
HermiteH
[
n
,
x
]
is an entire function of
x
with no branch cut discontinuities.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Compute the 10th Hermite polynomial:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Scope
(6)
Generalizations & Extensions
(2)
Applications
(5)
Properties & Relations
(1)
Possible Issues
(2)
Neat Examples
(4)
SEE ALSO
LaguerreL
HypergeometricU
TUTORIALS
Orthogonal Polynomials
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
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Functions Used in Quantum Mechanics
Mathematical Functions
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