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Statements
ϕ
2
3
(
q
-
n
,
b
,
c
d
,
e
;
q
,
q
)
=
(
e
/
c
,
d
/
c
;
q
)
n
(
e
,
d
;
q
)
n
c
n
ϕ
2
3
(
q
-
n
,
c
,
c
b
q
1
-
n
/
(
d
e
)
c
q
1
-
n
/
e
,
c
q
1
-
n
/
d
;
q
,
q
)
,
q-hypergeometric-rphis
3
2
superscript
𝑞
𝑛
𝑏
𝑐
𝑑
𝑒
𝑞
𝑞
q-multiple-Pochhammer
𝑒
𝑐
𝑑
𝑐
𝑞
𝑛
q-multiple-Pochhammer
𝑒
𝑑
𝑞
𝑛
superscript
𝑐
𝑛
q-hypergeometric-rphis
3
2
superscript
𝑞
𝑛
𝑐
𝑐
𝑏
superscript
𝑞
1
𝑛
𝑑
𝑒
𝑐
superscript
𝑞
1
𝑛
𝑒
𝑐
superscript
𝑞
1
𝑛
𝑑
𝑞
𝑞
{\displaystyle{\displaystyle{{}_{3}\phi_{2}}\left({q^{-n},b,c\atop d,e};q,q%
\right)=\frac{\left(e/c,d/c;q\right)_{n}}{\left(e,d;q\right)_{n}}c^{n}{{}_{3}%
\phi_{2}}\left({q^{-n},c,\ifrac{cbq^{1-n}}{(de)}\atop\ifrac{cq^{1-n}}{e},%
\ifrac{cq^{1-n}}{d}};q,q\right),}}
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}}
Identifiers
