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Digital Library of Mathematical Functions ID
1.2.E14
f
(
x
)
(
x
-
α
1
)
n
=
B
1
x
-
α
1
+
B
2
(
x
-
α
1
)
2
+
…
+
B
n
(
x
-
α
1
)
n
,
𝑓
𝑥
superscript
𝑥
subscript
𝛼
1
𝑛
subscript
𝐵
1
𝑥
subscript
𝛼
1
subscript
𝐵
2
superscript
𝑥
subscript
𝛼
1
2
…
subscript
𝐵
𝑛
superscript
𝑥
subscript
𝛼
1
𝑛
{\displaystyle{\displaystyle\frac{f(x)}{(x-\alpha_{1})^{n}}=\frac{B_{1}}{x-% \alpha_{1}}+\frac{B_{2}}{(x-\alpha_{1})^{2}}+\dots+\frac{B_{n}}{(x-\alpha_{1})% ^{n}},}}
Constraint(s)
Symbols List
n
𝑛
{\displaystyle{\displaystyle n}}
: nonnegative integer
f
(
x
)
𝑓
𝑥
{\displaystyle{\displaystyle f(x)}}
: polynomial of degree less than n
B
j
subscript
𝐵
𝑗
{\displaystyle{\displaystyle B_{j}}}
: coefficient (locally)
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