DLMF:18.26.E6 (Q5936)

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DLMF:18.26.E6
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    Defining formula
    lim t → ∞ ⁡ W n ⁡ ( ( x + t ) 2 ; a - i ⁢ t , b - i ⁢ t , a ¯ + i ⁢ t , b ¯ + i ⁢ t ) ( - 2 ⁢ t ) n ⁢ n ! = p n ⁡ ( x ; a , b , a ¯ , b ¯ ) . subscript → 𝑡 Wilson-polynomial-W 𝑛 superscript 𝑥 𝑡 2 𝑎 𝑖 𝑡 𝑏 𝑖 𝑡 𝑎 𝑖 𝑡 𝑏 𝑖 𝑡 superscript 2 𝑡 𝑛 𝑛 continuous-Hahn-polynomial-p 𝑛 𝑥 𝑎 𝑏 𝑎 𝑏 {\displaystyle{\displaystyle\lim_{t\to\infty}\frac{W_{n}\left((x+t)^{2};a-it,b% -it,\overline{a}+it,\overline{b}+it\right)}{(-2t)^{n}n!}=p_{n}\left(x;a,b,% \overline{a},\overline{b}\right).}}
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    DLMF id
    DLMF:18.26.E6
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