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Statements
lim
γ
→
∞
F
q
p
+
1
(
a
1
,
…
,
a
p
,
γ
b
1
,
…
,
b
q
;
γ
-
1
𝐓
)
=
F
q
p
(
a
1
,
…
,
a
p
b
1
,
…
,
b
q
;
𝐓
)
,
subscript
→
𝛾
Gauss-hypergeometric-of-matrix-pFq
𝑝
1
𝑞
subscript
𝑎
1
…
subscript
𝑎
𝑝
𝛾
subscript
𝑏
1
…
subscript
𝑏
𝑞
superscript
𝛾
1
𝐓
Gauss-hypergeometric-of-matrix-pFq
𝑝
𝑞
subscript
𝑎
1
…
subscript
𝑎
𝑝
subscript
𝑏
1
…
subscript
𝑏
𝑞
𝐓
{\displaystyle{\displaystyle\lim_{\gamma\to\infty}{{}_{p+1}F_{q}}\left({a_{1},%
\dots,a_{p},\gamma\atop b_{1},\dots,b_{q}};\gamma^{-1}\mathbf{T}\right)={{}_{p%
}F_{q}}\left({a_{1},\dots,a_{p}\atop b_{1},\dots,b_{q}};\mathbf{T}\right),}}
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)}}
a
𝑎
{\displaystyle{\displaystyle a}}
𝐓
𝐓
{\displaystyle{\displaystyle\mathbf{T}}}
b
𝑏
{\displaystyle{\displaystyle b}}
p
𝑝
{\displaystyle{\displaystyle p}}
q
𝑞
{\displaystyle{\displaystyle q}}
Identifiers
