MaRDI QID Q6144
Digital Library of Mathematical Functions ID 17.10.E1
ψ
2
2
(
a
,
b
c
,
d
;
q
,
z
)
=
(
a
z
,
d
/
a
,
c
/
b
,
d
q
/
(
a
b
z
)
;
q
)
∞
(
z
,
d
,
q
/
b
,
c
d
/
(
a
b
z
)
;
q
)
∞
ψ
2
2
(
a
,
a
b
z
/
d
a
z
,
c
;
q
,
d
a
)
,
q-hypergeometric-rpsis
2
2
𝑎
𝑏
𝑐
𝑑
𝑞
𝑧
q-multiple-Pochhammer
𝑎
𝑧
𝑑
𝑎
𝑐
𝑏
𝑑
𝑞
𝑎
𝑏
𝑧
𝑞
q-multiple-Pochhammer
𝑧
𝑑
𝑞
𝑏
𝑐
𝑑
𝑎
𝑏
𝑧
𝑞
q-hypergeometric-rpsis
2
2
𝑎
𝑎
𝑏
𝑧
𝑑
𝑎
𝑧
𝑐
𝑞
𝑑
𝑎
{\displaystyle{\displaystyle{{}_{2}\psi_{2}}\left({a,b\atop c,d};q,z\right)=%
\frac{\left(az,d/a,c/b,dq/(abz);q\right)_{\infty}}{\left(z,d,q/b,cd/(abz);q%
\right)_{\infty}}{{}_{2}\psi_{2}}\left({a,abz/d\atop az,c};q,\frac{d}{a}\right%
),}}
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}}
z
𝑧
{\displaystyle{\displaystyle z}}
Resources that cite this formula No records found.
