Pn(α,β)(cosθ)Pn(α,β)(1)=2Γ(α+1)π12Γ(αβ)Γ(β+12)010π((cos12θ)2r2(sin12θ)2+irsinθcosϕ)n(1r2)αβ1r2β+1(sinϕ)2βdϕdr,