Touchard polynomial

noun

Any member of a polynomial sequence of binomial type defined by T_n(x)=∑ₖ₌₀ⁿS(n,k)xᵏ=∑ₖ₌₀ⁿ

Meanings

nounTouchard polynomial (plural Touchard polynomials)

plural Touchard polynomials

  1. mathematicsAny member of a polynomial sequence of binomial type defined by T_n(x)=∑ₖ₌₀ⁿS(n,k)xᵏ=∑ₖ₌₀ⁿ

Origin

Studied by Jacques Touchard.

Full word history & related roots →
Cite this entry
APA

Touchard polynomial. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Touchard%20polynomial

MLA

“Touchard polynomial.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Touchard%20polynomial. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Touchard polynomial,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Touchard%20polynomial.

Source: Touchard polynomial on Wiktionary, CC BY-SA 4.0.