cos⁡(ν⁢π)⁢Pν-μ⁡(x)=2ν⁢π1/2⁢xν-μ⁢(x2-1)μ/2Γ⁡(ν+μ+1)⁢F⁡(12⁢μ-12⁢ν,12⁢μ-12⁢ν+12;12-ν;1x2)-π1/2⁢(x2-1)μ/22ν+1⁢Γ⁡(μ-ν)⁢xν+μ+1⁢F⁡(12⁢ν+12⁢μ+1,12⁢ν+12⁢μ+12;ν+32;1x2),