Orden relativo de crecimiento de funciones enteras

• Autores: Luis Bernal González
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 39, Fasc. 3, 1988, págs. 209-229
• Idioma: español
• Títulos paralelos:
  • Relative growth order of entire functions
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• Resumen

  • In this paper, we essay a generalization of the classical concept of growth order of an entire function. We define the new parameter $\rho_g(f)$, 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.