Word.ws English Dictionary

ultrapolynomials

ultrapolynomials is the plural of ultrapolynomial.

Meaning of ultrapolynomial

Noun

ultrapolynomial (plural ultrapolynomials)

  1. (rare) 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

See all 2 meanings of ultrapolynomial

Questions about ultrapolynomials

What is ultrapolynomials the plural of?
Ultrapolynomials is the plural of ultrapolynomial.

Words near ultrapolynomials in the dictionary

  1. ultrapolish
  2. ultrapolished
  3. ultrapolishes
  4. ultrapolishing
  5. ultrapolynomial
  6. ultrapolynomials
  7. ultrapoor
  8. ultrapop
  9. ultrapopular
  10. ultraportable
  11. ultraportables

Source and license

Adapted from Wiktionary: ultrapolynomials (page history and authors); 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: “ultrapolynomials.” Word.ws, https://word.ws/ultrapolynomials. Based on Wiktionary, CC BY-SA 4.0.