MaRDI QID Q6147
Digital Library of Mathematical Functions ID 17.10.E4
ψ
2
2
(
e
,
f
a
q
/
c
,
a
q
/
d
;
q
,
a
q
e
f
)
=
(
q
/
c
,
q
/
d
,
a
q
/
e
,
a
q
/
f
;
q
)
∞
(
a
q
,
q
/
a
,
a
q
/
(
c
d
)
,
a
q
/
(
e
f
)
;
q
)
∞
∑
n
=
-
∞
∞
(
1
-
a
q
2
n
)
(
c
,
d
,
e
,
f
;
q
)
n
(
1
-
a
)
(
a
q
/
c
,
a
q
/
d
,
a
q
/
e
,
a
q
/
f
;
q
)
n
(
q
a
3
c
d
e
f
)
n
q
n
2
.
q-hypergeometric-rpsis
2
2
𝑒
𝑓
𝑎
𝑞
𝑐
𝑎
𝑞
𝑑
𝑞
𝑎
𝑞
𝑒
𝑓
q-multiple-Pochhammer
𝑞
𝑐
𝑞
𝑑
𝑎
𝑞
𝑒
𝑎
𝑞
𝑓
𝑞
q-multiple-Pochhammer
𝑎
𝑞
𝑞
𝑎
𝑎
𝑞
𝑐
𝑑
𝑎
𝑞
𝑒
𝑓
𝑞
superscript
subscript
𝑛
1
𝑎
superscript
𝑞
2
𝑛
q-multiple-Pochhammer
𝑐
𝑑
𝑒
𝑓
𝑞
𝑛
1
𝑎
q-multiple-Pochhammer
𝑎
𝑞
𝑐
𝑎
𝑞
𝑑
𝑎
𝑞
𝑒
𝑎
𝑞
𝑓
𝑞
𝑛
superscript
𝑞
superscript
𝑎
3
𝑐
𝑑
𝑒
𝑓
𝑛
superscript
𝑞
superscript
𝑛
2
{\displaystyle{\displaystyle{{}_{2}\psi_{2}}\left({e,f\atop aq/c,aq/d};q,\frac%
{aq}{ef}\right)=\frac{\left(q/c,q/d,aq/e,aq/f;q\right)_{\infty}}{\left(aq,q/a,%
aq/(cd),aq/(ef);q\right)_{\infty}}\*\sum_{n=-\infty}^{\infty}\frac{(1-aq^{2n})%
\left(c,d,e,f;q\right)_{n}}{(1-a)\left(aq/c,aq/d,aq/e,aq/f;q\right)_{n}}\left(%
\frac{qa^{3}}{cdef}\right)^{n}q^{n^{2}}.}}
Constraint(s) Symbols List
ψ
s
r
(
a
1
,
…
,
a
r
;
b
1
,
…
,
b
s
;
q
,
z
)
q-hypergeometric-rpsis
𝑟
𝑠
subscript
𝑎
1
…
subscript
𝑎
𝑟
subscript
𝑏
1
…
subscript
𝑏
𝑠
𝑞
𝑧
{\displaystyle{\displaystyle{{}_{\NVar{r}}\psi_{\NVar{s}}}\left(\NVar{a_{1},%
\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}}
Resources that cite this formula No records found.
