ultradifferentiable

English

Etymology

From ultra- +‎ differentiable.

Adjective

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 $\gamma (\mathbb {M} )$ defined by V.Thilliez (Division by flat ultradifferentiable functions and sectorial extensions, Results Math. 44 (2003), 169--188) and the order of quasianalyticity $\omega (\mathbb {M} )$ introduced by the second author (Flat functions in Carleman ultraholomorphic classes via proximate orders, J.

Related terms

• ultradifferentiation