ultrapolynomials

A form of ultrapolynomial — 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.

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Meanings

noun
  1. pluralplural of ultrapolynomial

    We also construct a special class of ultrapolynomials, and use it as a base for the parametrix method in the study of new topological and structural properties of several quasianalytic spaces of functions and ultradistributions.

    2015, Stevan Pilipovic, Bojan Prangoski, Jasson Vindas, “On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution”, in arXiv
Cite this entry
APA

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

MLA

“ultrapolynomials.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/ultrapolynomials. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “ultrapolynomials,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/ultrapolynomials.

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