DLMF:18.6.E3 (Q5566)

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DLMF:18.6.E3
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    Statements

    test
    lim β → ∞ ⁡ P n ( α , β ) ⁡ ( x ) P n ( α , β ) ⁡ ( - 1 ) = ( 1 - x 2 ) n , subscript → 𝛽 Jacobi-polynomial-P 𝛼 𝛽 𝑛 𝑥 Jacobi-polynomial-P 𝛼 𝛽 𝑛 1 superscript 1 𝑥 2 𝑛 {\displaystyle{\displaystyle\lim_{\beta\to\infty}\frac{P^{(\alpha,\beta)}_{n}% \left(x\right)}{P^{(\alpha,\beta)}_{n}\left(-1\right)}=\left(\frac{1-x}{2}% \right)^{n},}}
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    DLMF:18.6.E3
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