On the geometric means of an entire function of several complex variables represented by multiple Dirichlet series

• Autores: Satya Narain Srivastava, Vinita Vijai
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 40, Fasc. 1, 1989, págs. 75-85
• Idioma: inglés
• Títulos paralelos:
  • Sobre las medias geométricas de una función entera de varias variables complejas representadas por series de Dirichlet múltiples
• Enlaces
  • Texto completo
• Resumen

  • Let $f(s_1, s_2)$ be an entire function of two complex variables represented by double Dirichlet series. In the present paper, we have studied certain growth properties of the geometric means of $\vert f(s_1, s_2)\vert$ and obtained some inequalities which are the best possible.

• Referencias bibliográficas
  • A. I. Janusauskas, Elementary theorem on the convergence of double Dirichlet series, Dokl. Akad. Nauk SSSR, 234, 1.
  • P. K. Sarkar, On order and type of an entire function in several complex variables represented by Dirichlet series, Bull. Cal. Math. Soc....
  • F. G. Salimov, Geometric mean values of entire functions represented by multiple Dirichlet series, Isv. Vyss. Ucebn. Zaved. Matematika, 3...