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Statements
t
j
(
1
-
t
j
)
∂
2
F
∂
t
j
2
-
1
2
∑
k
=
1
k
≠
j
m
t
k
(
1
-
t
k
)
t
j
-
t
k
∂
F
∂
t
k
+
(
c
-
1
2
(
m
-
1
)
-
(
a
+
b
-
1
2
(
m
-
3
)
)
t
j
+
1
2
∑
k
=
1
k
≠
j
m
t
j
(
1
-
t
j
)
t
j
-
t
k
)
∂
F
∂
t
j
=
a
b
F
,
subscript
𝑡
𝑗
1
subscript
𝑡
𝑗
partial-derivative
𝐹
subscript
𝑡
𝑗
2
1
2
superscript
subscript
𝑘
1
𝑘
𝑗
𝑚
subscript
𝑡
𝑘
1
subscript
𝑡
𝑘
subscript
𝑡
𝑗
subscript
𝑡
𝑘
partial-derivative
𝐹
subscript
𝑡
𝑘
𝑐
1
2
𝑚
1
𝑎
𝑏
1
2
𝑚
3
subscript
𝑡
𝑗
1
2
superscript
subscript
𝑘
1
𝑘
𝑗
𝑚
subscript
𝑡
𝑗
1
subscript
𝑡
𝑗
subscript
𝑡
𝑗
subscript
𝑡
𝑘
partial-derivative
𝐹
subscript
𝑡
𝑗
𝑎
𝑏
𝐹
{\displaystyle{\displaystyle t_{j}(1-t_{j})\frac{{\partial}^{2}F}{{\partial t_%
{j}}^{2}}-\frac{1}{2}\sum_{\begin{subarray}{c}k=1\\
k\neq j\end{subarray}}^{m}\frac{t_{k}(1-t_{k})}{t_{j}-t_{k}}\frac{\partial F}{%
\partial t_{k}}+\left({c-\tfrac{1}{2}(m-1)-\left(a+b-\tfrac{1}{2}(m-3)\right)t%
_{j}}+\frac{1}{2}\sum_{\begin{subarray}{c}k=1\\
k\neq j\end{subarray}}^{m}\frac{t_{j}(1-t_{j})}{t_{j}-t_{k}}\right)\frac{%
\partial F}{\partial t_{j}}=abF,}}
∂
f
∂
x
partial-derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
∂
x
𝑥
{\displaystyle{\displaystyle\partial\NVar{x}}}
a
𝑎
{\displaystyle{\displaystyle a}}
t
j
subscript
𝑡
𝑗
{\displaystyle{\displaystyle t_{j}}}
b
𝑏
{\displaystyle{\displaystyle b}}
c
𝑐
{\displaystyle{\displaystyle c}}
j
𝑗
{\displaystyle{\displaystyle j}}
k
𝑘
{\displaystyle{\displaystyle k}}
m
𝑚
{\displaystyle{\displaystyle m}}
Identifiers
