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Growth of Entire Dirichlet Series of Order Zero 被引量:2

Growth of Entire Dirichlet Series of Order Zero
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摘要 This note deals with the growth of entire Dirichlet series of order zero and the coefficient characteristic of the type under a kind of weaker exponent condition, and improves some known results. Moreover, the regular growth of the series is considered under the same exponent condition, and a sufficient condition of the regular growth is given.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第2期282-286,共5页 数学季刊(英文版)
关键词 Dirichlet series GROWTH TYPE regular growth Dirichlet 系列;生长;打字;常规生长;
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参考文献5

  • 1YU Jia-rong,DING Xiao-qing,TIAN Fan-ji.The Value Distribution of Dirichlet Series and Random Dirichlet Series[M].Wuhan:Wuhan University Press,2004.
  • 2AZPEITIA A G.A remark on the Pitt order of entire functions defined by Dirichlet series[J].Proc Amer Math Soc,1961,12(5):722-723.
  • 3GAO Zong-sheng.On the growth of Dirichlet series of zero order[J].Journal of Wuhan University,1994,2:1-8.
  • 4HE Long-zhen.The(p,q)-(R)order and lower(p,q)-(R)order of entire function definited by Dirichlet series[J].Journal of Wuhan University,1982,3:73-87.
  • 5HE Long-zhen.On the(p,q)-(R)type and lower(p,q)-(R)type of entire function definited by Dirichletseries[J].Journal of Wuhan University,1985,4:17-25.

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