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Formula:16

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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)
  •  Edit this on Wikidata

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