Formula:6633

Digital Library of Mathematical Functions ID 18.26.E7

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \lim_{t\to\infty}\frac{\WilsonpolyW{n}@{\tfrac{1}{2}(1-x)t^{2}}{\tfrac{1}{2}\alpha+\tfrac{1}{2}}{\tfrac{1}{2}\alpha+\tfrac{1}{2}}{\tfrac{1}{2}\beta+\tfrac{1}{2}+it}{\tfrac{1}{2}\beta+\tfrac{1}{2}-it}}{t^{2n}n!}=\JacobipolyP{\alpha}{\beta}{n}@{x}.}

Symbols List

• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \JacobipolyP{\NVar{\alpha}}{\NVar{\beta}}{\NVar{n}}@{\NVar{x}}} : Jacobi polynomial
• ${\displaystyle{\displaystyle W_{\NVar{n}}\left(\NVar{x};\NVar{a},\NVar{b},\NVar{c},\NVar{d}\right)}}$: Wilson polynomial
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

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