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DLMF:17.8.E5 - MaRDI portal
Statements
ψ
3
3
(
b
,
c
,
d
q
/
b
,
q
/
c
,
q
/
d
;
q
,
q
b
c
d
)
=
(
q
,
q
/
(
b
c
)
,
q
/
(
b
d
)
,
q
/
(
c
d
)
;
q
)
∞
(
q
/
b
,
q
/
c
,
q
/
d
,
q
/
(
b
c
d
)
;
q
)
∞
,
q-hypergeometric-rpsis
3
3
𝑏
𝑐
𝑑
𝑞
𝑏
𝑞
𝑐
𝑞
𝑑
𝑞
𝑞
𝑏
𝑐
𝑑
q-multiple-Pochhammer
𝑞
𝑞
𝑏
𝑐
𝑞
𝑏
𝑑
𝑞
𝑐
𝑑
𝑞
q-multiple-Pochhammer
𝑞
𝑏
𝑞
𝑐
𝑞
𝑑
𝑞
𝑏
𝑐
𝑑
𝑞
{\displaystyle{\displaystyle{{}_{3}\psi_{3}}\left({b,c,d\atop q/b,q/c,q/d};q,%
\frac{q}{bcd}\right)=\frac{\left(q,q/(bc),q/(bd),q/(cd);q\right)_{\infty}}{%
\left(q/b,q/c,q/d,q/(bcd);q\right)_{\infty}},}}
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}}
Identifiers