DLMF:18.11.E6 (Q5640)

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DLMF:18.11.E6
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    test
    lim n → ∞ ⁡ 1 n α ⁢ L n ( α ) ⁡ ( z n ) = 1 z 1 2 ⁢ α ⁢ J α ⁡ ( 2 ⁢ z 1 2 ) . subscript → 𝑛 1 superscript 𝑛 𝛼 Laguerre-polynomial-L 𝛼 𝑛 𝑧 𝑛 1 superscript 𝑧 1 2 𝛼 Bessel-J 𝛼 2 superscript 𝑧 1 2 {\displaystyle{\displaystyle\lim_{n\to\infty}\frac{1}{n^{\alpha}}L^{(\alpha)}_% {n}\left(\frac{z}{n}\right)=\frac{1}{z^{\frac{1}{2}\alpha}}J_{\alpha}\left(2z^% {\frac{1}{2}}\right).}}
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    DLMF:18.11.E6
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