DLMF:18.7.E23 (Q5591)

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DLMF:18.7.E23
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    test
    lim α → ∞ ⁡ α - 1 2 ⁢ n ⁢ P n ( α , α ) ⁡ ( α - 1 2 ⁢ x ) = H n ⁡ ( x ) 2 n ⁢ n ! . subscript → 𝛼 superscript 𝛼 1 2 𝑛 Jacobi-polynomial-P 𝛼 𝛼 𝑛 superscript 𝛼 1 2 𝑥 Hermite-polynomial-H 𝑛 𝑥 superscript 2 𝑛 𝑛 {\displaystyle{\displaystyle\lim_{\alpha\to\infty}\alpha^{-\frac{1}{2}n}P^{(% \alpha,\alpha)}_{n}\left(\alpha^{-\frac{1}{2}}x\right)=\frac{H_{n}\left(x% \right)}{2^{n}n!}.}}
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    DLMF id
    DLMF:18.7.E23
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