The Growth of an Entire Function Represented by Lacunary and Generalized Dirichlet Series |
Received:September 06, 2004 |
Key Words:
entire function Dirichlet series growth.
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Abstract: |
For an entire function represented by finite order and generalized dirichlet series, we introduce order $\rho_R$ (type $\tau_R$ ) and study the relation between order $\rho_R$ (type $\tau_R$ ) and order $\rho_L$ (type $\tau_L$ ) in any horizontal line respectively. Applying to Taylor series, we can get analogous results. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2006.03.013 |
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