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2.9.E7 - MaRDI portal
Statements
ρ
j
(
f
0
+
2
ρ
j
)
s
a
s
,
j
=
∑
r
=
1
s
(
ρ
j
2
2
r
+
1
(
α
j
+
r
-
s
r
+
1
)
+
ρ
j
∑
q
=
0
r
+
1
(
α
j
+
r
-
s
r
+
1
-
q
)
f
q
+
g
r
+
1
)
a
s
-
r
,
j
,
subscript
𝜌
𝑗
subscript
𝑓
0
2
subscript
𝜌
𝑗
𝑠
subscript
𝑎
𝑠
𝑗
superscript
subscript
𝑟
1
𝑠
superscript
subscript
𝜌
𝑗
2
superscript
2
𝑟
1
binomial
subscript
𝛼
𝑗
𝑟
𝑠
𝑟
1
subscript
𝜌
𝑗
superscript
subscript
𝑞
0
𝑟
1
binomial
subscript
𝛼
𝑗
𝑟
𝑠
𝑟
1
𝑞
subscript
𝑓
𝑞
subscript
𝑔
𝑟
1
subscript
𝑎
𝑠
𝑟
𝑗
{\displaystyle{\displaystyle\rho_{j}(f_{0}+2\rho_{j})sa_{s,j}=\sum_{r=1}^{s}%
\left(\rho_{j}^{2}2^{r+1}\genfrac{(}{)}{0.0pt}{}{\alpha_{j}+r-s}{r+1}+\rho_{j}%
\sum_{q=0}^{r+1}\genfrac{(}{)}{0.0pt}{}{\alpha_{j}+r-s}{r+1-q}f_{q}+g_{r+1}%
\right)a_{s-r,j},}}
(
m
n
)
binomial
𝑚
𝑛
{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
f
s
subscript
𝑓
𝑠
{\displaystyle{\displaystyle f_{s}}}
g
s
subscript
𝑔
𝑠
{\displaystyle{\displaystyle g_{s}}}
a
s
,
j
subscript
𝑎
𝑠
𝑗
{\displaystyle{\displaystyle a_{s,j}}}
ρ
j
subscript
𝜌
𝑗
{\displaystyle{\displaystyle\rho_{j}}}
Identifiers