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Statements
ϕ
2
3
(
q
-
2
n
,
b
,
c
q
1
-
2
n
/
b
,
q
1
-
2
n
/
c
;
q
,
q
2
-
n
b
c
)
=
(
b
,
c
;
q
)
n
(
q
,
b
c
;
q
)
2
n
(
q
,
b
c
;
q
)
n
(
b
,
c
;
q
)
2
n
.
q-hypergeometric-rphis
3
2
superscript
𝑞
2
𝑛
𝑏
𝑐
superscript
𝑞
1
2
𝑛
𝑏
superscript
𝑞
1
2
𝑛
𝑐
𝑞
superscript
𝑞
2
𝑛
𝑏
𝑐
q-multiple-Pochhammer
𝑏
𝑐
𝑞
𝑛
q-multiple-Pochhammer
𝑞
𝑏
𝑐
𝑞
2
𝑛
q-multiple-Pochhammer
𝑞
𝑏
𝑐
𝑞
𝑛
q-multiple-Pochhammer
𝑏
𝑐
𝑞
2
𝑛
{\displaystyle{\displaystyle{{}_{3}\phi_{2}}\left({q^{-2n},b,c\atop q^{1-2n}/b%
,q^{1-2n}/c};q,\frac{q^{2-n}}{bc}\right)=\frac{\left(b,c;q\right)_{n}\left(q,%
bc;q\right)_{2n}}{\left(q,bc;q\right)_{n}\left(b,c;q\right)_{2n}}.}}
ϕ
s
r
+
1
(
a
0
,
…
,
a
r
;
b
1
,
…
,
b
s
;
q
,
z
)
q-hypergeometric-rphis
𝑟
1
𝑠
subscript
𝑎
0
…
subscript
𝑎
𝑟
subscript
𝑏
1
…
subscript
𝑏
𝑠
𝑞
𝑧
{\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)}}
(
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}}
n
𝑛
{\displaystyle{\displaystyle n}}
