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