DLMF:2.10.E36 (Q1023)

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DLMF:2.10.E36
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    P n ⁡ ( cos ⁡ α ) = ( 2 π ⁢ n ⁢ sin ⁡ α ) 1 / 2 ⁢ cos ⁡ ( n ⁢ α + 1 2 ⁢ α - 1 4 ⁢ π ) + o ⁡ ( n - 1 ) . Legendre-spherical-polynomial 𝑛 𝛼 superscript 2 𝜋 𝑛 𝛼 1 2 𝑛 𝛼 1 2 𝛼 1 4 𝜋 little-o superscript 𝑛 1 {\displaystyle{\displaystyle P_{n}\left(\cos\alpha\right)=\left(\frac{2}{\pi n% \sin\alpha}\right)^{1/2}\cos\left(n\alpha+\tfrac{1}{2}\alpha-\tfrac{1}{4}\pi% \right)+o\left(n^{-1}\right).}}
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    DLMF id
    DLMF:2.10.E36
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