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Statements
lim
c
→
∞
F
1
2
(
a
,
b
c
;
𝐈
-
c
𝐓
-
1
)
=
|
𝐓
|
b
Ψ
(
b
;
b
-
a
+
1
2
(
m
+
1
)
;
𝐓
)
.
subscript
→
𝑐
Gauss-hypergeometric-of-matrix-pFq
2
1
𝑎
𝑏
𝑐
𝐈
𝑐
superscript
𝐓
1
superscript
𝐓
𝑏
confluent-hypergeometric-of-matrix-Psi
𝑏
𝑏
𝑎
1
2
𝑚
1
𝐓
{\displaystyle{\displaystyle\lim_{c\to\infty}{{}_{2}F_{1}}\left({a,b\atop c};%
\mathbf{I}-c\mathbf{T}^{-1}\right)=|\mathbf{T}|^{b}\Psi\left(b;b-a+\tfrac{1}{2%
}(m+1);\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)}}
Ψ
(
a
;
b
;
𝐓
)
confluent-hypergeometric-of-matrix-Psi
𝑎
𝑏
𝐓
{\displaystyle{\displaystyle\Psi\left(\NVar{a};\NVar{b};\NVar{\mathbf{T}}%
\right)}}
a
𝑎
{\displaystyle{\displaystyle a}}
𝐓
𝐓
{\displaystyle{\displaystyle\mathbf{T}}}
b
𝑏
{\displaystyle{\displaystyle b}}
c
𝑐
{\displaystyle{\displaystyle c}}
m
𝑚
{\displaystyle{\displaystyle m}}
Identifiers
