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Statements
ϕ
2
3
(
q
-
n
,
b
,
c
d
,
e
;
q
,
d
e
q
n
b
c
)
=
(
e
/
c
;
q
)
n
(
e
;
q
)
n
ϕ
2
3
(
q
-
n
,
c
,
d
/
b
d
,
c
q
1
-
n
/
e
;
q
,
q
)
.
q-hypergeometric-rphis
3
2
superscript
𝑞
𝑛
𝑏
𝑐
𝑑
𝑒
𝑞
𝑑
𝑒
superscript
𝑞
𝑛
𝑏
𝑐
q-Pochhammer-symbol
𝑒
𝑐
𝑞
𝑛
q-Pochhammer-symbol
𝑒
𝑞
𝑛
q-hypergeometric-rphis
3
2
superscript
𝑞
𝑛
𝑐
𝑑
𝑏
𝑑
𝑐
superscript
𝑞
1
𝑛
𝑒
𝑞
𝑞
{\displaystyle{\displaystyle{{}_{3}\phi_{2}}\left({q^{-n},b,c\atop d,e};q,%
\frac{deq^{n}}{bc}\right)=\frac{\left(e/c;q\right)_{n}}{\left(e;q\right)_{n}}{%
{}_{3}\phi_{2}}\left({q^{-n},c,d/b\atop d,cq^{1-n}/e};q,q\right).}}
(
a
;
q
)
n
q-Pochhammer-symbol
𝑎
𝑞
𝑛
{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
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)}}
q
𝑞
{\displaystyle{\displaystyle q}}
n
𝑛
{\displaystyle{\displaystyle n}}
Identifiers
