Acta mathematica scientia, Series B >
ON GENERALIZED ORDERS AND GENERALIZED TYPES OF DIRICHLET SERIES IN THE RIGHT HALF-PLANE
Received date: 2012-09-12
Revised date: 2013-03-18
Online published: 2014-01-20
Supported by
The research is supported by the National Natural Science Foundation of China (11101096, 11201083), Guangdong Natural Science Foundation (S2012010010376) and the Startup Foundation for Doctors of Guangdong University of Technology (083063).
In the paper, generalized orders and generalized types of Dirichlet series in the right half-plane are given. Some interesting relationships on maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of in the right half-plane are obtained.
Key words： Dirichlet series; order; type; slow growth
HUO Ying-Ying , KONG Yin-Ying . ON GENERALIZED ORDERS AND GENERALIZED TYPES OF DIRICHLET SERIES IN THE RIGHT HALF-PLANE[J]. Acta mathematica scientia, Series B, 2014 , 34(1) : 175 -182 . DOI: 10.1016/S0252-9602(13)60134-4
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