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Statements
L
ν
(
γ
)
(
𝐓
)
=
Γ
m
(
γ
+
ν
+
1
2
(
m
+
1
)
)
Γ
m
(
γ
+
1
2
(
m
+
1
)
)
F
1
1
(
-
ν
γ
+
1
2
(
m
+
1
)
;
𝐓
)
,
Laguerre-function-of-matrix-L
𝛾
𝜈
𝐓
multivariate-Euler-Gamma
𝑚
𝛾
𝜈
1
2
𝑚
1
multivariate-Euler-Gamma
𝑚
𝛾
1
2
𝑚
1
Gauss-hypergeometric-of-matrix-pFq
1
1
𝜈
𝛾
1
2
𝑚
1
𝐓
{\displaystyle{\displaystyle L^{(\gamma)}_{\nu}\left(\mathbf{T}\right)=\frac{%
\Gamma_{m}\left(\gamma+\nu+\frac{1}{2}(m+1)\right)}{\Gamma_{m}\left(\gamma+%
\frac{1}{2}(m+1)\right)}\*{{}_{1}F_{1}}\left({-\nu\atop\gamma+\frac{1}{2}(m+1)%
};\mathbf{T}\right),}}
ℜ
(
γ
)
,
ℜ
(
γ
+
ν
)
>
-
1
𝛾
𝛾
𝜈
1
{\displaystyle{\displaystyle\Re(\gamma),\Re(\gamma+\nu)>-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}}
𝐓
𝐓
{\displaystyle{\displaystyle\mathbf{T}}}
m
𝑚
{\displaystyle{\displaystyle m}}
Identifiers
