ON THE ORDER AND LOWER ORDER OF LAPLACE-STIELTJES TRANSFORMATIONS WITH INDEX PAIR (p, q)

被引:0
|
作者
Srivastava, G. S. [1 ]
Singhal, Chhaya [1 ]
机构
[1] Jaypee Inst Informat Technol, Dept Math, A-10,Sect 62, Noida 201307, India
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, in order to study the precise growth of entire functions represented by Laplace-Stieltjes transformations, we have introduced the concept of (p, q)-order and lower (p, q)-order and obtained their coefficient characterizations. Keywords: Laplace-Stieltjes transformations, entire function, order, type.
引用
收藏
页码:975 / 986
页数:12
相关论文
共 50 条
  • [1] The approximation of Laplace-Stieltjes transformations with finite order on the left half plane
    Xu, Hong-Yan
    Kong, Yin-Ying
    COMPTES RENDUS MATHEMATIQUE, 2018, 356 (01) : 63 - 76
  • [2] The approximation of Laplace-Stieltjes transforms with finite order
    Hong Yan Xu
    San Yan Liu
    Journal of Inequalities and Applications, 2017
  • [3] The approximation of Laplace-Stieltjes transforms with finite order
    Xu, Hong Yan
    Liu, San Yan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [4] Growth and Approximation of Laplace-Stieltjes Transform with (p, q)-Proximate Order Converges on the Whole Plane
    Cui, Yong Qin
    Xu, Hong Yan
    JOURNAL OF FUNCTION SPACES, 2020, 2020
  • [5] The growth and value distribution of Laplace-Stieltjes transformations with infinite order in the right half-plane
    Hong-Yan Xu
    Zu-Xing Xuan
    Journal of Inequalities and Applications, 2013
  • [6] The Singular Points of Analytic Functions with Finite X-Order Defined by Laplace-Stieltjes Transformations
    Xu, Hong-Yan
    Xuan, Zu-Xing
    JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [7] On proximate order and type function of Laplace-Stieltjes transformations convergent in the right half-plane
    Xu, Hong-Yan
    Yi, Cai-Feng
    Cao, Ting-Bin
    MATHEMATICAL COMMUNICATIONS, 2012, 17 (02) : 355 - 369
  • [8] The growth and value distribution of Laplace-Stieltjes transformations with infinite order in the right half-plane
    Xu, Hong-Yan
    Xuan, Zu-Xing
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013, : 1 - 15
  • [9] 广义Laplace-Stieltjes变换的(p,q)级
    宁菊红
    陈菁菁
    邓冠铁
    北京师范大学学报(自然科学版), 2017, 53 (03) : 263 - 266
  • [10] Entire Functions Represented by Laplace-Stieltjes Transforms Concerning the Approximation and Generalized Order
    Xu, Hongyan
    Kong, Yinying
    ACTA MATHEMATICA SCIENTIA, 2021, 41 (02) : 646 - 656