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Digital Library of Mathematical Functions ID
3.9.E4
Ξ
k
a
0
=
β
m
=
0
k
(
-
1
)
m
β’
(
k
m
)
β’
a
k
-
m
.
superscript
forward-difference
π
subscript
π
0
superscript
subscript
π
0
π
superscript
1
π
binomial
π
π
subscript
π
π
π
{\displaystyle{\displaystyle\Delta^{k}a_{0}=\sum_{m=0}^{k}(-1)^{m}\genfrac{(}{% )}{0.0pt}{}{k}{m}a_{k-m}.}}
Constraint(s)
Symbols List
(
m
n
)
binomial
π
π
{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
:
Ξ
forward-difference
{\displaystyle{\displaystyle\Delta}}
:
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