Orden relativo de crecimiento de funciones enteras

In this paper, we essay a generalization of the classical concept of growth order of an entire function. We define the new parameter ρg(f), the relative growth order of f(z) with respect to g(z), which establishes a direct comparison between the growth of the moduli of two nonconstant entire functio...

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Detalles Bibliográficos
Autor: Bernal González, Luis
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1988
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/48768
Acceso en línea:http://hdl.handle.net/11441/48768
Access Level:acceso abierto
Descripción
Sumario:In this paper, we essay a generalization of the classical concept of growth order of an entire function. We define the new parameter ρg(f), the relative growth order of f(z) with respect to g(z), which establishes a direct comparison between the growth of the moduli of two nonconstant entire functions f and g. Diverse properties, relative to sum, product, composition, derivative, real and imaginary parts, Nevanlinna’s characteristic and Taylor’s coefficients are studied.