(2⁢n+α+β)⁢(1-x2)⁢ⅆⅆ⁡x⁡Pn(α,β)⁡(x)=n⁢(α-β-(2⁢n+α+β)⁢x)⁢Pn(α,β)⁡(x)+2⁢(n+α)⁢(n+β)⁢Pn-1(α,β)⁡(x),