In mathematics, an Appell sequence, named after Paul Émile Appell, is any polynomial sequence {pn(x)}n = 0, 1, 2, ... satisfying the identity
and in which p0(x) is a non-zero constant.
Among the most notable Appell sequences besides the trivial example { xn } are the Hermite polynomials, the Bernoulli polynomials, and the Euler polynomials. Every Appell sequence is a Sheffer sequence, but most Sheffer sequences are not Appell sequences.
Read more about Appell Sequence: Equivalent Characterizations of Appell Sequences, Recursion Formula, Subgroup of The Sheffer Polynomials, Different Convention
Famous quotes containing the word sequence:
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