Appell sequence

Meaning

Noun

• Any polynomial sequence $\backslash \{p\_n(x)\backslash \}\_\{n=0,1,2,\backslash ldots\}$ satisfying the identity $\backslash frac\{d\}\{dx\}\; p\_n(x)\; =\; np\_\{n-1\}(x),$ and in which $p\_0(x)$ is a non-zero constant.

Origin

• Named after Paul Émile Appell.