Formula:KLS:14.01:23

<< Formula:KLS:14.01:21

formula in Askey-Wilson

Formula:KLS:14.01:24 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \delta_q \AskeyWilson{n}@{x}{a}{b}{c}{d}{q}=-q^{-\frac{1}{2}n}(1-q^n)(1-abcdq^{n-1})(\expe^{\iunit\theta}-\expe^{-\iunit\theta}) {} \AskeyWilson{n-1}@{x}{aq^{\frac{1}{2}}}{bq^{\frac{1}{2}}}{cq^{\frac{1}{2}}}{dq^{\frac{1}{2}}}{q} }}

Proof

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Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle p_{n}}}  : Askey-Wilson polynomial : http://dlmf.nist.gov/18.28#E1
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \mathrm{e}}}  : the base of the natural logarithm : http://dlmf.nist.gov/4.2.E11
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

Bibliography

Equation in Section 14.1 of KLS.

URL links

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<< Formula:KLS:14.01:21

formula in Askey-Wilson

Formula:KLS:14.01:24 >>