View source for Differential equation for Jacobi P

==Theorem==
The [[Jacobi P]] polynomials $y(x)=P_n^{(\alpha,\beta)}(x)$ satisfy the differential equation
$$(1-x^2)y' '(x)+[\beta-\alpha-(\alpha+\beta+2)x]y'(x)+n(n+\alpha+\beta+1)y(x)=0.$$

==Proof==

==References==
* {{BookReference|Orthogonal Polynomials|1975|Gabor Szegő|edpage = Fourth Edition|prev=Jacobi P of order 2n+1 with alpha=beta|next=findme}}: Theorem 4.2.1

[[Category:Theorem]]
[[Category:Unproven]]