Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (3): 556-568.

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The Approximation and Growth of Entire Function Represented by Laplace-Stieltjes Transform with Infinite Order

Hongyan Xu1,2,*(),Sanyang Liu2   

  1. 1 School of Mathematics and Computer Science, Shangrao Normal University, Jiangxi Shangrao 334001
    2 School of Mathematics and Statistics, Xidian University, Xi'an 710126
  • Received:2019-04-23 Online:2020-06-26 Published:2020-07-15
  • Contact: Hongyan Xu E-mail:xhyhhh@126.com
  • Supported by:
    the NSFC(11561033);the NSFC(61877046);the NSF of Jiangxi Province(20181BAB201001);the Foundation of Education Department of Jiangxi(GJJ180734);the Foundation of Education Department of Jiangxi(GJJ180735)

Abstract:

The main purpose of this article is to investigate the growth and approximation of Laplace-Stieltjes transform with irregular growth converges in the whole plane, by introducing the concept of the double lower q-type. We obtain some relation theorems concerning the double lower q-type, the error, An* and λn, which are extension and improvement of the previous theorems given by Luo-Kong, Singhal-Srivastava.

Key words: Laplace-Stieltjes transform, Approximation, Double lower q-type

CLC Number: 

  • O174
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