ultradifferentiable

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English

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Etymology

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From ultra- +‎ differentiable.

Adjective

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ultradifferentiable (not comparable)

  1. (mathematics) Having all derivatives over an open set bounded by an indexed value in an ultradistribution (times a constant).
    • 2015, Javier Jiménez-Garrido, Javier Sanz, “Strongly regular sequences and proximate orders”, in arXiv[1]:
      Under this assumption, and through the characterization of strongly regular sequences in terms of so-called regular variation, we show that the growth index defined by V.Thilliez (Division by flat ultradifferentiable functions and sectorial extensions, Results Math. 44 (2003), 169--188) and the order of quasianalyticity introduced by the second author (Flat functions in Carleman ultraholomorphic classes via proximate orders, J.
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