Formula:KLS:09.01:36

<< Formula:KLS:09.01:35

formula in Wilson

Formula:KLS:09.01:37 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \Wilson{n}@{x^2}{a}{b}{c}{d} =\frac{\pochhammer{a-\iunit x}{n} \pochhammer{b-\iunit x}{n} \pochhammer{c-\iunit x}{n} \pochhammer{d-\iunit x}{n}}{\pochhammer{-2\iunit x}{n}} \HyperpFq{7}{6}@@{2\iunit x-n,\iunit x-\frac12 n+1,a+\iunit x,b+\iunit x,c+\iunit x,d+\iunit x,-n}{\iunit x-\frac12 n,1-n-a+\iunit x,1-n-b+\iunit x,1-n-c+\iunit x,1-n-d+\iunit x}{1} }}

Proof

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Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle W_{n}}}  : Wilson polynomial : http://dlmf.nist.gov/18.25#T1.t1.r2
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (a)_n}}  : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \mathrm{i}}}  : imaginary unit : http://dlmf.nist.gov/1.9.i
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle {{}_{p}F_{q}}}}  : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1

Bibliography

Equation in Section 9.1 of KLS.

URL links

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<< Formula:KLS:09.01:35

formula in Wilson

Formula:KLS:09.01:37 >>