Formula:KLS:09.03:16
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (a-\textstyle\frac{1}{2}-\iunit x)(b-\textstyle\frac{1}{2}-\iunit x) (c-\textstyle\frac{1}{2}-\iunit x) \ctsdualHahn{n}@{(x+\textstyle\frac{1}{2}\iunit)^2}{a}{b}{c} {}-(a-\textstyle\frac{1}{2}+\iunit x)(b-\textstyle\frac{1}{2}+\iunit x) (c-\textstyle\frac{1}{2}+\iunit x) \ctsdualHahn{n}@{(x-\textstyle\frac{1}{2}\iunit)^2}{a}{b}{c} {}=-2\iunit xS_{n+1}(x^2;a-\textstyle\frac{1}{2},b-\textstyle\frac{1}{2} c-\textstyle\frac{1}{2}) }}
Proof
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Symbols List
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 S_{n}}}
: continuous dual Hahn polynomial : http://dlmf.nist.gov/18.25#T1.t1.r3
Bibliography
Equation in Section 9.3 of KLS.
URL links
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