On the mean values of an entire function represented by Dirichlet series of several complex variables

Autores: S. Daoud
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 36, Fasc. 3, 1985, págs. 243-252
Idioma: inglés
Títulos paralelos:
- Sobre los valores medios de una función entera representada por series de Dirichlet de varias variables complejas
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Resumen
- Let $f(s_1,s_2)$ be an entire function represented by Dirichlet series of two complex variables. We have defined for $0?\delta?\infty$ and $k_1,k_2>0$ the functions $I_\delta(\sigma_1,\sigma_2), A_\delta (\sigma_1,\sigma_2)$ and $G_{\delta,k_1,k_2}(\sigma_1,\sigma_2)$, then the Ritt-order $\rho$, the lower order $\lambda$ and the orders $\rho_1,\rho_2$ with respect to the variables $s_1,s_2$ could be expressed in terms of theses functions.