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Statements
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q
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∞
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∞
ψ
8
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q
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=
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∞
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∞
ϕ
7
8
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f
2
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f
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f
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+
idem
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f
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g
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.
q-multiple-Pochhammer
𝑎
𝑞
𝑏
𝑎
𝑞
𝑐
𝑎
𝑞
𝑑
𝑎
𝑞
𝑒
𝑞
𝑎
𝑏
𝑞
𝑎
𝑐
𝑞
𝑎
𝑑
𝑞
𝑎
𝑒
𝑞
q-multiple-Pochhammer
𝑓
𝑎
𝑔
𝑎
𝑓
𝑎
𝑔
𝑎
𝑞
superscript
𝑎
2
𝑞
superscript
𝑎
2
𝑞
q-hypergeometric-rpsis
8
8
𝑞
𝑎
𝑞
𝑎
𝑏
𝑎
𝑐
𝑎
𝑑
𝑎
𝑒
𝑎
𝑓
𝑎
𝑔
𝑎
𝑎
𝑎
𝑎
𝑞
𝑏
𝑎
𝑞
𝑐
𝑎
𝑞
𝑑
𝑎
𝑞
𝑒
𝑎
𝑞
𝑓
𝑎
𝑞
𝑔
𝑞
superscript
𝑞
2
𝑏
𝑐
𝑑
𝑒
𝑓
𝑔
q-multiple-Pochhammer
𝑞
𝑞
𝑏
𝑓
𝑞
𝑐
𝑓
𝑞
𝑑
𝑓
𝑞
𝑒
𝑓
𝑞
𝑓
𝑏
𝑞
𝑓
𝑐
𝑞
𝑓
𝑑
𝑞
𝑓
𝑒
𝑞
q-multiple-Pochhammer
𝑓
𝑎
𝑞
𝑓
𝑎
𝑎
𝑞
𝑓
𝑓
𝑎
𝑔
𝑓
𝑓
𝑔
𝑞
superscript
𝑓
2
𝑞
q-hypergeometric-rphis
8
7
superscript
𝑓
2
𝑞
𝑓
𝑞
𝑓
𝑓
𝑏
𝑓
𝑐
𝑓
𝑑
𝑓
𝑒
𝑓
𝑔
𝑓
𝑓
𝑓
𝑞
𝑏
𝑓
𝑞
𝑐
𝑓
𝑞
𝑑
𝑓
𝑞
𝑒
𝑓
𝑞
𝑔
𝑞
superscript
𝑞
2
𝑏
𝑐
𝑑
𝑒
𝑓
𝑔
idem
𝑓
𝑔
{\displaystyle{\displaystyle\frac{\left(aq/b,aq/c,aq/d,aq/e,q/(ab),q/(ac),q/(%
ad),q/(ae);q\right)_{\infty}}{\left(fa,ga,f/a,g/a,qa^{2},q/a^{2};q\right)_{%
\infty}}\*{{}_{8}\psi_{8}}\left({qa,-qa,ba,ca,da,ea,fa,ga\atop a,-a,aq/b,aq/c,%
aq/d,aq/e,aq/f,aq/g};q,\frac{q^{2}}{bcdefg}\right)=\frac{\left(q,q/(bf),q/(cf)%
,q/(df),q/(ef),qf/b,qf/c,qf/d,qf/e;q\right)_{\infty}}{\left(fa,q/(fa),aq/f,f/a%
,g/f,fg,qf^{2};q\right)_{\infty}}\*{{}_{8}\phi_{7}}\left({f^{2},qf,-qf,fb,fc,%
fd,fe,fg\atop f,-f,fq/b,fq/c,fq/d,fq/e,fq/g};q,\frac{q^{2}}{bcdefg}\right)+%
\mathrm{idem}\left(f;g\right).}}
idem
(
χ
1
;
χ
2
,
…
,
χ
n
)
idem
subscript
𝜒
1
subscript
𝜒
2
…
subscript
𝜒
𝑛
{\displaystyle{\displaystyle\mathrm{idem}\left(\NVar{\chi_{1}};\NVar{\chi_{2},%
\dots,\chi_{n}}\right)}}
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)}}
ψ
s
r
(
a
1
,
…
,
a
r
;
b
1
,
…
,
b
s
;
q
,
z
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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}}
Identifiers
