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JacobiP
JacobiP[
n
,
a
,
b
,
x
] gives the Jacobi polynomial  .
Mathematical function (see Section A.3.10).
Explicit polynomials are given when possible.
 satisfies the differential equation  .
The Jacobi polynomials are orthogonal with weight function  .
JacobiP[
n
,
a
,
b
,
z
] has a branch cut discontinuity in the complex z plane running from  to  .
See the Mathematica book: Section 3.2.9.
See also: LegendreP, ChebyshevT, ChebyshevU, GegenbauerC.
Further Examples
Here are the first five Jacobi polynomials.
In[1]:= 
Out[1]= 
This is the derivative.
In[2]:= 
Out[2]= 
This is the integral.
In[3]:= 
Out[3]= 
This is a series expansion around  .
In[4]:= 
Out[4]= 
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