DLMF:17.9.E14 (Q5440)

No description defined

Language	Label	Description	Also known as
English	DLMF:17.9.E14	No description defined

Statements

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperphi{4}{3}@@{q^{-n},a,b,c}{d,e,f}{q}{q}=\frac{\qmultiPochhammersym{e/a,f/a}{q}{n}}{\qmultiPochhammersym{e,f}{q}{n}}a^{n}\qgenhyperphi{4}{3}@@{q^{-n},a,d/b,d/c}{d,aq^{1-n}/e,aq^{1-n}/f}{q}{q}=\frac{\qmultiPochhammersym{a,ef/(ab),ef/(ac)}{q}{n}}{\qmultiPochhammersym{e,f,ef/(abc)}{q}{n}}\qgenhyperphi{4}{3}@@{q^{-n},e/a,f/a,ef/(abc)}{ef/(ab),ef/(ac),q^{1-n}/a}{q}{q}.}

0 references

DLMF id

DLMF:17.9.E14

0 references

Symbols used

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

Defining formula

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.m2amdec

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Q11713

Defining formula

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.m6afdec

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Q11710

Defining formula

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

xml-id

C17.S1.XMD10.m1mdec

0 references

Q11711

Defining formula

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