Chinese Quarterly Journal of Mathematics ›› 2020, Vol. 35 ›› Issue (4): 363-369.doi: 10.13371/j.cnki.chin.q.j.m.2020.04.004

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The Growth of the Entire Function Represented by the Laplace-Stieltjes Transform in the Whole Plane

  

  1. 1. College of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022;  2. Suzhouwan Experimental Junior Middle School, Suzhou 215200;  3. Basic Department, Army Infantry of PLA, Nanchang 330000
  • Received:2020-09-01 Online:2020-12-30 Published:2021-01-06
  • About author: NING Ju-hong(1977-), female, native of Sanmenxia, Henan, associate professor of Jiangxi Normal University, engages in complex analysis; Song Wen-pei(1991-), female, native of Fuyang, Anhui, teacher of Suzhouwan Experimental Junior Middle School, engages in complex analysis; HUANG Wen-Ping (1974-), male, native of Nanfeng, Jiangxi, associate professor of Army Infantry College of PLA, engages in reliability.
  • Supported by:
     Supported by National Natural Science Foundation of China (Grant No. 11661044).

Abstract:

 In the paper, the α-order of the Laplace-Stieltjes Transform is introduced firstly, then we get the relationship between 

α-order represented by the maximum modulus and α-order represented by An, λn. Lastly, we obtain the relationship between type τ represented by the maximum modulus and type τ represented by An, λn.

Key words: Laplace-Stieltjes transform, Maximum modulus, Maximum term, α-Order; Generalized type

CLC Number: