Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (3): 601-607.

• Articles • Previous Articles     Next Articles

On Orders and Types of Laplace-Stieltjes Transforms of Slow Growth

 LUO Xi1, KONG Yin-Ying2   

  1. 1.School of Mathematics, Jiaying University, Guangdong Meizhou 514015;
    2.School of Mathematics and Computational Science, Guangdong University of Business Studies, Guangzhou 510320
  • Received:2010-09-29 Revised:2011-12-30 Online:2012-06-25 Published:2012-06-25
  • Supported by:

    广东省教育厅育苗工程项目(LYM08060)、高等学校博士学科点专项科研基金(20050574002)、广州市科技和信息化局应用基础研究计划项目(2010Y1-C641)和国家自然科学基金(11101096)资助

Abstract:

The paper has the object of showing some more interesting relationships between the maximum modulus and the maximum term, the index of maximum term and the coefficients of entire functions defined by Laplace-Stieltjes  transforms of slow growth, and some theorems on estimating the orders and types of Laplace-Stieltjes transforms are obtained.

Key words: L-S transforms, Slow growth function, Generalized order, Generalized type

CLC Number: 

  • 44A10
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