Pn-12m⁡(cosh⁡ξ)=Γ⁡(n+m+12)⁢(sinh⁡ξ)m2m⁢π1/2⁢Γ⁡(n-m+12)⁢Γ⁡(m+12)⁢∫0π(sin⁡ϕ)2⁢m(cosh⁡ξ+cos⁡ϕ⁢sinh⁡ξ)n+m+(1/2)⁢ⅆ⁡ϕ,