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Statements
F
1
2
(
a
,
b
c
;
𝐓
)
=
|
𝐈
-
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|
c
-
a
-
b
F
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2
(
c
-
a
,
c
-
b
c
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=
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𝐈
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𝐓
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-
a
F
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2
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a
,
c
-
b
c
;
-
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𝐈
-
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-
1
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-
b
F
1
2
(
c
-
a
,
b
c
;
-
𝐓
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𝐈
-
𝐓
)
-
1
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.
Gauss-hypergeometric-of-matrix-pFq
2
1
𝑎
𝑏
𝑐
𝐓
superscript
𝐈
𝐓
𝑐
𝑎
𝑏
Gauss-hypergeometric-of-matrix-pFq
2
1
𝑐
𝑎
𝑐
𝑏
𝑐
𝐓
superscript
𝐈
𝐓
𝑎
Gauss-hypergeometric-of-matrix-pFq
2
1
𝑎
𝑐
𝑏
𝑐
𝐓
superscript
𝐈
𝐓
1
superscript
𝐈
𝐓
𝑏
Gauss-hypergeometric-of-matrix-pFq
2
1
𝑐
𝑎
𝑏
𝑐
𝐓
superscript
𝐈
𝐓
1
{\displaystyle{\displaystyle{{}_{2}F_{1}}\left({a,b\atop c};\mathbf{T}\right)=%
|\mathbf{I}-\mathbf{T}|^{c-a-b}{{}_{2}F_{1}}\left({c-a,c-b\atop c};\mathbf{T}%
\right)=|\mathbf{I}-\mathbf{T}|^{-a}{{}_{2}F_{1}}\left({a,c-b\atop c};-\mathbf%
{T}(\mathbf{I}-\mathbf{T})^{-1}\right)=|\mathbf{I}-\mathbf{T}|^{-b}{{}_{2}F_{1%
}}\left({c-a,b\atop c};-\mathbf{T}(\mathbf{I}-\mathbf{T})^{-1}\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}}
c
𝑐
{\displaystyle{\displaystyle c}}
Identifiers
