Appell sequence

noun

Any polynomial sequence p_n(x)_(n=0,1,2,…) satisfying the identity d/(dx)p_n(x)=np_n-1(x), and in which p_0(x) is a non-zero constant.

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Meanings

nounAppell sequence (plural Appell sequences)

plural Appell sequences

  1. mathematicsAny polynomial sequence p_n(x)_(n=0,1,2,…) satisfying the identity 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.

Full word history & related roots →
Cite this entry
APA

Appell sequence. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Appell%20sequence

MLA

“Appell sequence.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Appell%20sequence. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Appell sequence,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Appell%20sequence.

Source: Appell sequence on Wiktionary, CC BY-SA 4.0.