MaRDI QID Q6123
Digital Library of Mathematical Functions ID 17.8.E7
ψ
6
6
(
q
a
1
2
,
-
q
a
1
2
,
b
,
c
,
d
,
e
a
1
2
,
-
a
1
2
,
a
q
/
b
,
a
q
/
c
,
a
q
/
d
,
a
q
/
e
;
q
,
q
a
2
b
c
d
e
)
=
(
a
q
,
a
q
/
(
b
c
)
,
a
q
/
(
b
d
)
,
a
q
/
(
b
e
)
,
a
q
/
(
c
d
)
,
a
q
/
(
c
e
)
,
a
q
/
(
d
e
)
,
q
,
q
/
a
;
q
)
∞
(
a
q
/
b
,
a
q
/
c
,
a
q
/
d
,
a
q
/
e
,
q
/
b
,
q
/
c
,
q
/
d
,
q
/
e
,
q
a
2
/
(
b
c
d
e
)
;
q
)
∞
.
q-hypergeometric-rpsis
6
6
𝑞
superscript
𝑎
1
2
𝑞
superscript
𝑎
1
2
𝑏
𝑐
𝑑
𝑒
superscript
𝑎
1
2
superscript
𝑎
1
2
𝑎
𝑞
𝑏
𝑎
𝑞
𝑐
𝑎
𝑞
𝑑
𝑎
𝑞
𝑒
𝑞
𝑞
superscript
𝑎
2
𝑏
𝑐
𝑑
𝑒
q-multiple-Pochhammer
𝑎
𝑞
𝑎
𝑞
𝑏
𝑐
𝑎
𝑞
𝑏
𝑑
𝑎
𝑞
𝑏
𝑒
𝑎
𝑞
𝑐
𝑑
𝑎
𝑞
𝑐
𝑒
𝑎
𝑞
𝑑
𝑒
𝑞
𝑞
𝑎
𝑞
q-multiple-Pochhammer
𝑎
𝑞
𝑏
𝑎
𝑞
𝑐
𝑎
𝑞
𝑑
𝑎
𝑞
𝑒
𝑞
𝑏
𝑞
𝑐
𝑞
𝑑
𝑞
𝑒
𝑞
superscript
𝑎
2
𝑏
𝑐
𝑑
𝑒
𝑞
{\displaystyle{\displaystyle{{}_{6}\psi_{6}}\left({qa^{\frac{1}{2}},-qa^{\frac%
{1}{2}},b,c,d,e\atop a^{\frac{1}{2}},-a^{\frac{1}{2}},aq/b,aq/c,aq/d,aq/e};q,%
\frac{qa^{2}}{bcde}\right)=\frac{\left(aq,aq/(bc),aq/(bd),aq/(be),aq/(cd),aq/(%
ce),aq/(de),q,q/a;q\right)_{\infty}}{\left(aq/b,aq/c,aq/d,aq/e,q/b,q/c,q/d,q/e%
,qa^{2}/(bcde);q\right)_{\infty}}.}}
Constraint(s) Symbols List
ψ
s
r
(
a
1
,
…
,
a
r
;
b
1
,
…
,
b
s
;
q
,
z
)
q-hypergeometric-rpsis
𝑟
𝑠
subscript
𝑎
1
…
subscript
𝑎
𝑟
subscript
𝑏
1
…
subscript
𝑏
𝑠
𝑞
𝑧
{\displaystyle{\displaystyle{{}_{\NVar{r}}\psi_{\NVar{s}}}\left(\NVar{a_{1},%
\dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}
(
a
1
,
a
2
,
…
,
a
r
;
q
)
n
q-multiple-Pochhammer
subscript
𝑎
1
subscript
𝑎
2
…
subscript
𝑎
𝑟
𝑞
𝑛
{\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}%
\right)_{\NVar{n}}}}
q
𝑞
{\displaystyle{\displaystyle q}}
Resources that cite this formula No records found.
