DLMF:17.9.E3 (Q5429)

No description defined

Language	Label	Description	Also known as
English	DLMF:17.9.E3	No description defined

Statements

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperphi{2}{1}@@{a,b}{c}{q}{z}=\frac{\qPochhammer{abz/c}{q}{\infty}}{\qPochhammer{bz/c}{q}{\infty}}\qgenhyperphi{3}{2}@@{a,c/b,0}{c,cq/(bz)}{q}{q}+\frac{\qmultiPochhammersym{a,bz,c/b}{q}{\infty}}{\qmultiPochhammersym{c,z,c/(bz)}{q}{\infty}}\qgenhyperphi{3}{2}@@{z,abz/c,0}{bz,bzq/c}{q}{q},}

0 references

DLMF id

DLMF:17.9.E3

0 references

Symbols used

Q11298

Defining formula

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

xml-id

C17.S2.SS1.p1.m2abdec

0 references

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.m2abdec

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.m6adec

0 references

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.m1bdec

0 references

Q11718

Defining formula

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