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Statements
ϕ
1
2
(
a
,
b
c
;
q
,
z
)
=
(
c
/
b
,
b
z
;
q
)
∞
(
c
,
z
;
q
)
∞
ϕ
1
2
(
a
b
z
/
c
,
b
b
z
;
q
,
c
/
b
)
,
q-hypergeometric-rphis
2
1
𝑎
𝑏
𝑐
𝑞
𝑧
q-multiple-Pochhammer
𝑐
𝑏
𝑏
𝑧
𝑞
q-multiple-Pochhammer
𝑐
𝑧
𝑞
q-hypergeometric-rphis
2
1
𝑎
𝑏
𝑧
𝑐
𝑏
𝑏
𝑧
𝑞
𝑐
𝑏
{\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({a,b\atop c};q,z\right)=%
\frac{\left(c/b,bz;q\right)_{\infty}}{\left(c,z;q\right)_{\infty}}{{}_{2}\phi_%
{1}}\left({\ifrac{abz}{c},b\atop bz};q,c/b\right),}}
|
z
|
<
1
,
|
c
|
<
|
b
|
formulae-sequence
𝑧
1
𝑐
𝑏
{\displaystyle{\displaystyle|z|<1,|c|<|b|}}
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}}
z
𝑧
{\displaystyle{\displaystyle z}}
Identifiers
