Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (5): 1236-1244.

• Articles • Previous Articles     Next Articles

On Logarithmic Order and Logarithmic Proximate Order of the Analytic Function |Defined by Laplace-Stieltjes Transformations

 LU Wan-Chun1, YI Cai-Feng2   

  1. 1.Department of Mathematics,Pingxiang University, Jiangxi Pingxiang 337055;
    2.Institute of Mathematics and informatics, Jiangxi Normal University, Nanchang 330022
  • Received:2013-09-14 Revised:2014-06-30 Online:2014-10-25 Published:2014-10-25
  • Supported by:

    江西省教育厅科技项目基金(GJJ13788)资助

Abstract:

In the present paper, we study the growth and regular growth of analytic functions defined by infinite order Laplace-Stieltjes transformation converging in right plane. The characterizations of the growth and regular growth of the analytic functions are obtained in terms of some new growth parameters.

Key words: Laplace-Stieltjes transform, Infinite order,  β-Order,  β-Regular order

CLC Number: 

  • 44A10
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