ultrapolynomial
ultrapolynomial 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.
Noun
ultrapolynomial (plural ultrapolynomials)
- 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.
- 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
Adjective
ultrapolynomial (not comparable)
- Relating to ultrapolynomials.
Forms of ultrapolynomial
| plural | ultrapolynomials |
|---|
Origin of ultrapolynomial
From ultra- + polynomial.
Words formed from ultrapolynomial
- ultrapolynomially
Questions about ultrapolynomial
- What does ultrapolynomial mean?
- Ultrapolynomial means 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.
- What part of speech is ultrapolynomial?
- Ultrapolynomial can be a noun or an adjective.
- What is the plural of ultrapolynomial?
- The plural of ultrapolynomial is ultrapolynomials.
Words near ultrapolynomial in the dictionary
Source and license
Adapted from Wiktionary: ultrapolynomial (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Cite this entry: “ultrapolynomial.” Word.ws, https://word.ws/ultrapolynomial. Based on Wiktionary, CC BY-SA 4.0.