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Newton's formula for interpolation is


I prefer sigma notation, when it is possible. Can this be written in sigma notation?

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up vote 2 down vote accepted

You can write $\displaystyle P(x)= \sum\limits_{i=1}^{+ \infty} c_i \prod\limits_{j=1}^{i-1} (x-x_j)$, with the convention $\prod\limits_{j=1}^0 (x-x_j)=1$.

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