DLMF:17.10.E6 (Q5452)

No description defined

Language	Label	Description	Also known as
English	DLMF:17.10.E6	No description defined

Statements

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{\qmultiPochhammersym{aq/b,aq/c,aq/d,aq/e,aq/f,q/(ab),q/(ac),q/(ad),q/(ae),q/(af)}{q}{\infty}}{\qmultiPochhammersym{ag,ah,ak,g/a,h/a,k/a,qa^{2},q/a^{2}}{q}{\infty}}\*\qgenhyperpsi{10}{10}@@{qa,-qa,ba,ca,da,ea,fa,ga,ha,ka}{a,-a,aq/b,aq/c,aq/d,aq/e,aq/f,aq/g,aq/h,aq/k}{q}{\frac{q^{2}}{bcdefghk}}=\frac{\qmultiPochhammersym{q,q/(bg),q/(cg),q/(dg),q/(eg),q/(fg),qg/b,qg/c,qg/d,qg/e,qg/f}{q}{\infty}}{\qmultiPochhammersym{gh,gk,h/g,ag,q/(ag),g/a,aq/g,qg^{2}}{q}{\infty}}\*\qgenhyperphi{10}{9}@@{g^{2},qg,-qg,gb,gc,gd,ge,gf,gh,gk}{g,-g,qg/b,qg/c,qg/d,qg/e,qg/f,qg/h,qg/k}{q}{\frac{q^{2}}{bcdefghk}}+\idem@{g}{h,k}.}

0 references

DLMF id

DLMF:17.10.E6

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Symbols used

Q11721

Defining formula

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

xml-id

C17.S1.p3.m2aadec

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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.m2aadec

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

Defining formula

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

xml-id

C17.S4.E3.m2aedec

0 references

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.m6aedec

0 references

Q11715

Defining formula

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

xml-id

C17.S1.XMD1.m1dec

0 references

Q11710

Defining formula

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