ultraholomorphic
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English
Etymology
From ultra- + holomorphic.
Adjective
ultraholomorphic (not comparable)
- (mathematics) 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.
- 2015, Javier Jiménez-Garrido, Javier Sanz, “Strongly regular sequences and proximate orders”, in arXiv:
- 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.
