DLMF:18.7.E21 (Q5589): Difference between revisions

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DLMF:18.7.E21
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    Statements

    Defining formula
    lim β → ∞ ⁡ P n ( α , β ) ⁡ ( 1 - ( 2 ⁢ x / β ) ) = L n ( α ) ⁡ ( x ) . subscript → 𝛽 Jacobi-polynomial-P 𝛼 𝛽 𝑛 1 2 𝑥 𝛽 Laguerre-polynomial-L 𝛼 𝑛 𝑥 {\displaystyle{\displaystyle\lim_{\beta\to\infty}P^{(\alpha,\beta)}_{n}\left(1% -(\ifrac{2x}{\beta})\right)=L^{(\alpha)}_{n}\left(x\right).}}
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    DLMF:18.7.E21
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