DLMF:18.11.E8 (Q5642)

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DLMF:18.11.E8
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    test
    lim n → ∞ ⁡ ( - 1 ) n 2 2 ⁢ n ⁢ n ! ⁢ H 2 ⁢ n + 1 ⁡ ( z 2 ⁢ n 1 2 ) = 2 π 1 2 ⁢ sin ⁡ z . subscript → 𝑛 superscript 1 𝑛 superscript 2 2 𝑛 𝑛 Hermite-polynomial-H 2 𝑛 1 𝑧 2 superscript 𝑛 1 2 2 superscript 𝜋 1 2 𝑧 {\displaystyle{\displaystyle\lim_{n\to\infty}\frac{(-1)^{n}}{2^{2n}n!}H_{2n+1}% \left(\frac{z}{2n^{\frac{1}{2}}}\right)=\frac{2}{\pi^{\frac{1}{2}}}\sin z.}}
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    DLMF id
    DLMF:18.11.E8
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