Formula:14

Digital Library of Mathematical Functions ID 1.2.E12

${\displaystyle{\displaystyle\frac{f(x)}{(x-\alpha_{1})(x-\alpha_{2})\cdots(x-\alpha_{n})}=\frac{A_{1}}{x-\alpha_{1}}+\frac{A_{2}}{x-\alpha_{2}}+\dots+\frac{A_{n}}{x-\alpha_{n}},}}$

Symbols List

• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle f(x)}}$: polynomial of degree less than n
• ${\displaystyle{\displaystyle A_{j}}}$: coefficient (locally)
 

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