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DLMF:17.2.E15
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Formula:6002
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MaRDI QID
Q6002
Label: DLMF:17.2.E15
Digital Library of Mathematical Functions ID
17.2.E15
(
a
β’
q
-
n
;
q
)
k
=
(
a
;
q
)
k
β’
(
q
/
a
;
q
)
n
(
q
1
-
k
/
a
;
q
)
n
β’
q
-
n
β’
k
,
q-Pochhammer-symbol
π
superscript
π
π
π
π
q-Pochhammer-symbol
π
π
π
q-Pochhammer-symbol
π
π
π
π
q-Pochhammer-symbol
superscript
π
1
π
π
π
π
superscript
π
π
π
{\displaystyle{\displaystyle\left(aq^{-n};q\right)_{k}=\frac{\left(a;q\right)_% {k}\left(q/a;q\right)_{n}}{\left(q^{1-k}/a;q\right)_{n}}q^{-nk},}}
Constraint(s)
Symbols List
(
a
;
q
)
n
q-Pochhammer-symbol
π
π
π
{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
:
k
π
{\displaystyle{\displaystyle k}}
: nonnegative integer
q
π
{\displaystyle{\displaystyle q}}
: complex base
n
π
{\displaystyle{\displaystyle n}}
: nonnegative integer
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