# DLMF:17.9.E16 (Q5442)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
No description defined
Language Label Description Also known as
English
DLMF:17.9.E16
No description defined

## Statements

$\displaystyle \qgenhyperphi{8}{7}@@{a,qa^{\frac{1}{2}},-qa^{\frac{1}{2}},b,c,d,e,f}{a^{\frac{1}{2}},-a^{\frac{1}{2}},aq/b,aq/c,aq/d,aq/e,aq/f}{q}{\frac{a^{2}q^{2}}{bcdef}}=\frac{\qmultiPochhammersym{aq,aq/(de),aq/(df),aq/(ef)}{q}{\infty}}{\qmultiPochhammersym{aq/d,aq/e,aq/f,aq/(def)}{q}{\infty}}\qgenhyperphi{4}{3}@@{aq/(bc),d,e,f}{aq/b,aq/c,def/a}{q}{q}+\frac{\qmultiPochhammersym{aq,aq/(bc),d,e,f,a^{2}q^{2}/(bdef),a^{2}q^{2}/(cdef)}{q}{\infty}}{\qmultiPochhammersym{aq/b,aq/c,aq/d,aq/e,aq/f,a^{2}q^{2}/(bcdef),def/(aq)}{q}{\infty}}\*\qgenhyperphi{4}{3}@@{aq/(de),aq/(df),aq/(ef),a^{2}q^{2}/(bcdef)}{a^{2}q^{2}/(bdef),a^{2}q^{2}/(cdef),aq^{2}/(def)}{q}{q}.$
0 references
DLMF:17.9.E16
0 references
${\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},% \dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}$
C17.S4.E1.m2aodec
0 references
${\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}% \right)_{\NVar{n}}}}$
C17.S2.SS1.p1.m6ahdec
0 references
${\displaystyle{\displaystyle q}}$
C17.S1.XMD10.m1odec
0 references