Ultraholomorphic

Quick meaning: Ultraholomorphic is an adjective meaning (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.

Meaning

(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.

Example Sentences

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.

Related Words

Related dictionary entries include hyperholomorphic, antiholomorphic, ultradifferentiable, ultrahyperbolic, meromorphic, hypermeromorphic.

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