Appell sequence

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Appell sequence

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Named after Paul Émile Appell.

Appell sequence (plural Appell sequences)

1. (mathematics) Any polynomial sequence ${\displaystyle \{p_{n}(x)\}_{n=0,1,2,\ldots }}$ satisfying the identity ${\displaystyle {\frac {d}{dx}}p_{n}(x)=np_{n-1}(x),}$ and in which ${\displaystyle p_{0}(x)}$ is a non-zero constant.