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Statements
F
2
3
(
-
n
,
a
,
1
-
a
d
,
1
-
d
-
2
n
;
1
)
=
(
1
2
(
a
+
d
)
)
n
(
1
2
(
d
-
a
+
1
)
)
n
(
1
2
d
)
n
(
1
2
(
d
+
1
)
)
n
,
Gauss-hypergeometric-pFq
3
2
𝑛
𝑎
1
𝑎
𝑑
1
𝑑
2
𝑛
1
Pochhammer
1
2
𝑎
𝑑
𝑛
Pochhammer
1
2
𝑑
𝑎
1
𝑛
Pochhammer
1
2
𝑑
𝑛
Pochhammer
1
2
𝑑
1
𝑛
{\displaystyle{\displaystyle{{}_{3}F_{2}}\left({-n,a,1-a\atop d,1-d-2n};1%
\right)=\frac{{\left(\frac{1}{2}(a+d)\right)_{n}}{\left(\frac{1}{2}(d-a+1)%
\right)_{n}}}{{\left(\frac{1}{2}d\right)_{n}}{\left(\frac{1}{2}(d+1)\right)_{n%
}}},}}
n
=
0
,
1
,
…
𝑛
0
1
…
{\displaystyle{\displaystyle n=0,1,\dots}}
F
q
p
(
a
1
,
…
,
a
p
;
b
1
,
…
,
b
q
;
z
)
Gauss-hypergeometric-pFq
𝑝
𝑞
subscript
𝑎
1
…
subscript
𝑎
𝑝
subscript
𝑏
1
…
subscript
𝑏
𝑞
𝑧
{\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots%
,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}
(
a
)
n
Pochhammer
𝑎
𝑛
{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
a
,
a
1
,
…
,
a
p
𝑎
subscript
𝑎
1
…
subscript
𝑎
𝑝
{\displaystyle{\displaystyle a,a_{1},\ldots,a_{p}}}
Identifiers
