DLMF:18.28.E19 (Q5994)

No description defined

Language	Label	Description	Also known as
English	DLMF:18.28.E19	No description defined

Statements

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle R_{n}(x)=\qRacahpolyR{n}@{x}{\alpha}{\beta}{\gamma}{\delta}{q}=\sum_{\ell=0}^{n}\frac{q^{\ell}\qmultiPochhammersym{q^{-n},\alpha\beta q^{n+1}}{q}{\ell}}{\qmultiPochhammersym{\alpha q,\beta\delta q,\gamma q,q}{q}{\ell}}\*\prod_{j=0}^{\ell-1}(1-q^{j}x+\gamma\delta q^{2j+1})=\qgenhyperphi{4}{3}@@{q^{-n},\alpha\beta q^{n+1},q^{-y},\gamma\delta q^{y+1}}{\alpha q,\beta\delta q,\gamma q}{q}{q},}

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DLMF id

DLMF:18.28.E19

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Symbols defined

$$q$$ -Racah polynomial

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DLMF:18.28.E19

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constraint

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n=0,1,\dots,N}

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Symbols used

basic hypergeometric (or $$q$$ -hypergeometric) function

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperphi{\NVar{r+1}}{\NVar{s}}@{\NVar{a_{0},\dots,a_{r}}}{\NVar{b_{1},\dots,b_{s}}}{\NVar{q}}{\NVar{z}}}

xml-id

C17.S4.E1.m2agdec

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Q11713

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qmultiPochhammersym{\NVar{a_{1},a_{2},\dots,a_{r}}}{\NVar{q}}{\NVar{n}}}

xml-id

C17.S2.SS1.p1.m6agdec

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Q11743

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle y}

xml-id

C18.S1.XMD1.m1bdec

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Q11728

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}