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Statements
ϕ
0
0
(
-
;
-
;
q
,
z
)
=
∑
n
=
0
∞
(
-
1
)
n
q
(
n
2
)
z
n
(
q
;
q
)
n
=
(
z
;
q
)
∞
,
q-hypergeometric-rphis
0
0
𝑞
𝑧
superscript
subscript
𝑛
0
superscript
1
𝑛
superscript
𝑞
binomial
𝑛
2
superscript
𝑧
𝑛
q-Pochhammer-symbol
𝑞
𝑞
𝑛
q-Pochhammer-symbol
𝑧
𝑞
{\displaystyle{\displaystyle{{}_{0}\phi_{0}}\left(-;-;q,z\right)=\sum_{n=0}^{%
\infty}\frac{(-1)^{n}q^{\genfrac{(}{)}{0.0pt}{}{n}{2}}z^{n}}{\left(q;q\right)_%
{n}}=\left(z;q\right)_{\infty},}}
|
z
|
<
1
𝑧
1
{\displaystyle{\displaystyle|z|<1}}
(
m
n
)
binomial
𝑚
𝑛
{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
(
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}}
z
𝑧
{\displaystyle{\displaystyle z}}
Identifiers
