DLMF:15.9.E2 (Q5092)

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DLMF:15.9.E2
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    C n ( λ ) ⁡ ( x ) = ( 2 ⁢ λ ) n n ! ⁢ F ⁡ ( - n , n + 2 ⁢ λ λ + 1 2 ; 1 - x 2 ) . ultraspherical-Gegenbauer-polynomial 𝜆 𝑛 𝑥 Pochhammer 2 𝜆 𝑛 𝑛 Gauss-hypergeometric-F 𝑛 𝑛 2 𝜆 𝜆 1 2 1 𝑥 2 {\displaystyle{\displaystyle C^{(\lambda)}_{n}\left(x\right)=\frac{{\left(2% \lambda\right)_{n}}}{n!}F\left({-n,n+2\lambda\atop\lambda+\frac{1}{2}};\frac{1% -x}{2}\right).}}
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    DLMF:15.9.E2
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