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Pronunciation varies by accent · adjective
(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..
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.
Use ultraholomorphic when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Ultraholomorphic means (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..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
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.
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