Artículo
On universal entire functions with zero-free derivatives
Autor/es | Bernal González, Luis |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 1997-04 |
Fecha de depósito | 2019-06-18 |
Publicado en |
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Resumen | We prove in this note a generalization of a theorem due to G. Herzog on zero-free universal entire functions. Specifically, it is shown that, if a nonnegative integer q and a nonconstant entire function Φ of subexponential ... We prove in this note a generalization of a theorem due to G. Herzog on zero-free universal entire functions. Specifically, it is shown that, if a nonnegative integer q and a nonconstant entire function Φ of subexponential type are given, then there is a residual set in the class of entire functions with zero-free derivatives of orders q and q + 1, such that every member of that set is universal with respect to Φ(D), where D is the differentiation operator. |
Identificador del proyecto | PB93-0926 |
Cita | Bernal González, L. (1997). On universal entire functions with zero-free derivatives. Archiv der Mathematik, 68 (2), 145-150. |
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