Formula:6632

Digital Library of Mathematical Functions ID 18.26.E6

${\displaystyle{\displaystyle\lim_{t\to\infty}\frac{W_{n}\left((x+t)^{2};a-it,b-it,\overline{a}+it,\overline{b}+it\right)}{(-2t)^{n}n!}=p_{n}\left(x;a,b,\overline{a},\overline{b}\right).}}$

Symbols List

• ${\displaystyle{\displaystyle W_{\NVar{n}}\left(\NVar{x};\NVar{a},\NVar{b},\NVar{c},\NVar{d}\right)}}$: Wilson polynomial
• ${\displaystyle{\displaystyle\overline{\NVar{z}}}}$: complex conjugate
• ${\displaystyle{\displaystyle p_{\NVar{n}}\left(\NVar{x};\NVar{a},\NVar{b},\NVar{\overline{a}},\NVar{missing}\right)\)\@add@PDF@RDFa@triples\end{document}}}$: continuous Hahn polynomial
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

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