DLMF:18.7.E9 (Q5577)

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DLMF:18.7.E9
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    test
    P n ⁡ ( x ) = C n ( 1 2 ) ⁡ ( x ) = P n ( 0 , 0 ) ⁡ ( x ) . Legendre-spherical-polynomial 𝑛 𝑥 ultraspherical-Gegenbauer-polynomial 1 2 𝑛 𝑥 Jacobi-polynomial-P 0 0 𝑛 𝑥 {\displaystyle{\displaystyle P_{n}\left(x\right)=C^{(\frac{1}{2})}_{n}\left(x% \right)=P^{(0,0)}_{n}\left(x\right).}}
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    DLMF id
    DLMF:18.7.E9
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