View source for (n+2)C (n+2)^(lambda)(x)=2(lambda+n+1)xC (n+1)^(lambda)(x)-(2lambda+n)C n^(lambda)(x)

← (n+2)C (n+2)^(lambda)(x)=2(lambda+n+1)xC (n+1)^(lambda)(x)-(2lambda+n)C n^(lambda)(x)

Jump to: navigation, search

You do not have permission to edit this page, for the following reason:

The action you have requested is limited to users in the group: Users.

You can view and copy the source of this page.

==Theorem==
The following formula holds:
$$(n+2)C_{n+2}^{\lambda}(x)=2(\lambda+n+1)xC_{n+1}^{\lambda}(x)-(2\lambda+n)C_n^{\lambda}(x),$$
where $C_{n+2}^{\lambda}$ denotes [[Gegenbauer C]].

==Proof==

==References==

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

Return to (n+2)C (n+2)^(lambda)(x)=2(lambda+n+1)xC (n+1)^(lambda)(x)-(2lambda+n)C n^(lambda)(x).

Retrieved from "http://specialfunctionswiki.org/index.php/(n%2B2)C_(n%2B2)%5E(lambda)(x)%3D2(lambda%2Bn%2B1)xC_(n%2B1)%5E(lambda)(x)-(2lambda%2Bn)C_n%5E(lambda)(x)"