Word.ws English Dictionary

ultraholomorphic

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.

Adjective

ultraholomorphic (not comparable)

  1. 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.
    • 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....2015, Javier Jiménez-Garrido, Javier Sanz, “Strongly regular sequences and proximate orders”, in arXiv

Origin of ultraholomorphic

From ultra- + holomorphic.

Questions about ultraholomorphic

What does ultraholomorphic mean?
Ultraholomorphic means 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.
What part of speech is ultraholomorphic?
Ultraholomorphic is an adjective.

Words near ultraholomorphic in the dictionary

  1. ultraheats
  2. ultraheavy
  3. ultraheroic
  4. ultrahigh
  5. ultrahip
  6. ultraholomorphic
  7. ultrahomogeneity
  8. ultrahomogeneous
  9. ultrahot
  10. ultrahuman
  11. ultrahydrophobic

Source and license

Adapted from Wiktionary: ultraholomorphic (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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