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Statements
𝒦
(
z
,
t
)
=
(
z
t
-
a
)
1
2
-
δ
-
σ
F
1
2
(
1
2
-
δ
-
σ
+
α
,
1
2
-
δ
-
σ
+
β
γ
;
z
t
a
)
F
1
2
(
-
1
2
+
δ
+
σ
,
-
1
2
+
ϵ
-
σ
δ
;
a
(
z
-
1
)
(
t
-
1
)
(
a
-
1
)
(
z
t
-
a
)
)
,
𝒦
𝑧
𝑡
superscript
𝑧
𝑡
𝑎
1
2
𝛿
𝜎
Gauss-hypergeometric-F-as-2F1
1
2
𝛿
𝜎
𝛼
1
2
𝛿
𝜎
𝛽
𝛾
𝑧
𝑡
𝑎
Gauss-hypergeometric-F-as-2F1
1
2
𝛿
𝜎
1
2
italic-ϵ
𝜎
𝛿
𝑎
𝑧
1
𝑡
1
𝑎
1
𝑧
𝑡
𝑎
{\displaystyle{\displaystyle\mathcal{K}(z,t)=(zt-a)^{\frac{1}{2}-\delta-\sigma%
}\*{{}_{2}F_{1}}\left({\frac{1}{2}-\delta-\sigma+\alpha,\frac{1}{2}-\delta-%
\sigma+\beta\atop\gamma};\frac{zt}{a}\right)\*{{}_{2}F_{1}}\left({-\frac{1}{2}%
+\delta+\sigma,-\frac{1}{2}+\epsilon-\sigma\atop\delta};\frac{a(z-1)(t-1)}{(a-%
1)(zt-a)}\right),}}
F
1
2
(
a
,
b
;
c
;
z
)
Gauss-hypergeometric-F-as-2F1
𝑎
𝑏
𝑐
𝑧
{\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};%
\NVar{z}\right)}}
z
𝑧
{\displaystyle{\displaystyle z}}
γ
𝛾
{\displaystyle{\displaystyle\gamma}}
δ
𝛿
{\displaystyle{\displaystyle\delta}}
ϵ
italic-ϵ
{\displaystyle{\displaystyle\epsilon}}
a
𝑎
{\displaystyle{\displaystyle a}}
α
𝛼
{\displaystyle{\displaystyle\alpha}}
β
𝛽
{\displaystyle{\displaystyle\beta}}
𝒦
(
z
,
t
)
𝒦
𝑧
𝑡
{\displaystyle{\displaystyle\mathcal{K}(z,t)}}
σ
𝜎
{\displaystyle{\displaystyle\sigma}}
Identifiers
