ultraholomorphic

adjective

Holomorphic and such that all derivatives are uniformly bounded by a constant multiple of the argument that can be associated with the order of the derivative.

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Meanings

adjectiveultraholomorphic (not comparable)
  1. not comparablemathematicsHolomorphic and such that all derivatives are uniformly bounded by a constant multiple of the argument that can be associated with the order of the derivative.
    1 more example

    Under this assumption, and through the characterization of strongly regular sequences in terms of so-called regular variation, we show that the growth index #92;gamma(#92;mathbb#123;M#125;) defined by V.Thilliez (Division by flat ultradifferentiable functions and sectorial extensions, Results Math. 44 (2003), 169--188) and the order of quasianalyticity #92;omega(#92;mathbb#123;M#125;) introduced by the second author (Flat functions in Carleman ultraholomorphic classes via proximate orders, J.

    2015, Javier Jiménez-Garrido, Javier Sanz, “Strongly regular sequences and proximate orders”, in arXiv

Origin

From ultra- + holomorphic.

Full word history & related roots →
Cite this entry
APA

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

MLA

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

Chicago

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

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