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Statements
F
1
2
(
a
,
b
c
;
𝐈
)
=
Γ
m
(
c
)
Γ
m
(
c
-
a
-
b
)
Γ
m
(
c
-
a
)
Γ
m
(
c
-
b
)
,
Gauss-hypergeometric-of-matrix-pFq
2
1
𝑎
𝑏
𝑐
𝐈
multivariate-Euler-Gamma
𝑚
𝑐
multivariate-Euler-Gamma
𝑚
𝑐
𝑎
𝑏
multivariate-Euler-Gamma
𝑚
𝑐
𝑎
multivariate-Euler-Gamma
𝑚
𝑐
𝑏
{\displaystyle{\displaystyle{{{}_{2}F_{1}}\left({a,b\atop c};\mathbf{I}\right)%
=\frac{\Gamma_{m}\left(c\right)\Gamma_{m}\left(c-a-b\right)}{\Gamma_{m}\left(c%
-a\right)\Gamma_{m}\left(c-b\right)}},}}
ℜ
(
c
)
,
ℜ
(
c
-
a
-
b
)
>
1
2
(
m
-
1
)
𝑐
𝑐
𝑎
𝑏
1
2
𝑚
1
{\displaystyle{\displaystyle\Re(c),\Re(c-a-b)>\frac{1}{2}(m-1)}}
F
q
p
(
a
1
,
…
,
a
p
;
b
1
,
…
,
b
q
;
𝐓
)
Gauss-hypergeometric-of-matrix-pFq
𝑝
𝑞
subscript
𝑎
1
…
subscript
𝑎
𝑝
subscript
𝑏
1
…
subscript
𝑏
𝑞
𝐓
{\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots%
,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{\mathbf{T}}\right)}}
Γ
m
(
a
)
multivariate-Euler-Gamma
𝑚
𝑎
{\displaystyle{\displaystyle\Gamma_{\NVar{m}}\left(\NVar{a}\right)}}
ℜ
absent
{\displaystyle{\displaystyle\Re}}
a
𝑎
{\displaystyle{\displaystyle a}}
b
𝑏
{\displaystyle{\displaystyle b}}
c
𝑐
{\displaystyle{\displaystyle c}}
m
𝑚
{\displaystyle{\displaystyle m}}
Identifiers
