ultrapolynomial

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noun

A power series in several variables P:Kᵈ→K (with K a field) of the form P(x)=Σ_(α∈ℕᵈ)c_αx^α whose coefficients are bounded in some specific sense.

Scrabble 22
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Meanings

nounultrapolynomial (plural ultrapolynomials)

plural ultrapolynomials

  1. raremathematicsA power series in several variables P:Kᵈ→K (with K a field) of the form P(x)=Σ_(α∈ℕᵈ)c_αx^α whose coefficients are bounded in some specific sense.

    There exists an ultrapolynomial P(z) of class #92;left(M#95;p#92;right) (resp. of class #92;left#92;#123;M#95;p#92;right#92;#125;) such that P does not vanish on #92;mathbb#123;R#125;ᵈ and satisfies the following estimate:

    2015, Stevan Pilipovic, Bojan Prangoski, Jasson Vindas, “On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution”, in arXiv
adjectiveultrapolynomial (not comparable)
  1. not comparableRelating to ultrapolynomials.

Origin

From ultra- + polynomial.

Full word history & related roots →
Cite this entry
APA

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

MLA

“ultrapolynomial.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/ultrapolynomial. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “ultrapolynomial,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/ultrapolynomial.

Source: ultrapolynomial on Wiktionary, CC BY-SA 4.0.