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Functions Used in Quantum Mechanics
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JacobiP
JacobiP
[
n
,
a
,
b
,
x
]
gives the Jacobi polynomial
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
Explicit polynomials are given when possible.
satisfies the differential equation
.
The Jacobi polynomials are orthogonal with weight function
.
For certain special arguments,
JacobiP
automatically evaluates to exact values.
JacobiP
can be evaluated to arbitrary numerical precision.
JacobiP
automatically threads over lists.
JacobiP
[
n
,
a
,
b
,
z
]
has a branch cut discontinuity in the complex
z
plane running from
to
.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Compute the 2
Jacobi polynomial:
In[1]:=
Out[1]=
Plot
:
In[1]:=
Out[1]=
Scope
(7)
Applications
(3)
Properties & Relations
(1)
Possible Issues
(1)
SEE ALSO
LegendreP
ZernikeR
ChebyshevT
ChebyshevU
GegenbauerC
TUTORIALS
Orthogonal Polynomials
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Functions Used in Quantum Mechanics
Special Functions
New in 1
© 2008 Wolfram Research, Inc.
. 
satisfies the differential equation 
. 
. 
to 
.
EXAMPLES
Basic Examples 
Scope 