ON GENERALIZED ORDERS AND GENERALIZED TYPES OF DIRICHLET SERIES IN THE RIGHT HALF-PLANE

doi:10.1016/S0252-9602(13)60134-4

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (1): 175-182.doi: 10.1016/S0252-9602(13)60134-4

ON GENERALIZED ORDERS AND GENERALIZED TYPES OF DIRICHLET SERIES IN THE RIGHT HALF-PLANE

霍颖莹|孔荫莹*

School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China； School of Mathematics and Computational Science, Guangdong University of Business Studies, Guangzhou 510320, China

收稿日期:2012-09-12 修回日期:2013-03-18 出版日期:2014-01-20 发布日期:2014-01-20
通讯作者: 孔荫莹，kongcoco@hotmail.com E-mail:fs hyy@aliyun.com；kongcoco@hotmail.com
基金资助:
The research is supported by the National Natural Science Foundation of China (11101096, 11201083), Guangdong Natural Science Foundation (S2012010010376) and the Startup Foundation for Doctors of Guangdong University of Technology (083063).

ON GENERALIZED ORDERS AND GENERALIZED TYPES OF DIRICHLET SERIES IN THE RIGHT HALF-PLANE

HUO Ying-Ying, KONG Yin-Ying*

School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China； School of Mathematics and Computational Science, Guangdong University of Business Studies, Guangzhou 510320, China

Received:2012-09-12 Revised:2013-03-18 Online:2014-01-20 Published:2014-01-20
Contact: KONG Yin-Ying，kongcoco@hotmail.com E-mail:fs hyy@aliyun.com；kongcoco@hotmail.com
Supported by:
The research is supported by the National Natural Science Foundation of China (11101096, 11201083), Guangdong Natural Science Foundation (S2012010010376) and the Startup Foundation for Doctors of Guangdong University of Technology (083063).

摘要/Abstract

摘要：

In the paper, generalized orders and generalized types of Dirichlet series in the right half-plane are given. Some interesting relationships on maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of in the right half-plane are obtained.

关键词: Dirichlet series, order, type, slow growth

Abstract:

Key words: Dirichlet series, order, type, slow growth

中图分类号:

30D30

霍颖莹, 孔荫莹. ON GENERALIZED ORDERS AND GENERALIZED TYPES OF DIRICHLET SERIES IN THE RIGHT HALF-PLANE[J]. 数学物理学报(英文版), 2014, 34(1): 175-182.

HUO Ying-Ying, KONG Yin-Ying. ON GENERALIZED ORDERS AND GENERALIZED TYPES OF DIRICHLET SERIES IN THE RIGHT HALF-PLANE[J]. Acta mathematica scientia,Series B, 2014, 34(1): 175-182.

参考文献

[1] Yu Jiarong. Dirichlet Seires and Random Dirichlet Series. Beijing: Science Press, 1997 (in Chinses)

[2] Yu Jiarong. Julia lines of random Dirichlet series. Bull Sci Math, 2004, 128: 341–353

[3] Jin Qiyu, Sun Daochun. On the distribution of random Dirichlet series in the whole plane. Turk J Math, 2008, 32: 245–254

[4] Sun Daochun, Yu Jiarong. Sur la distribution des valeurs des certaines s´eries al´eatoires de Dirichlet (II). C R Acad Sci Paris, S´er I, 1989, 308: 205–207

[5] Tian Fanji, Sun Daochun, Yu Jiarong. Sur les s´eries al´eatoires de Dirichlet. C R Acad Sci, 1998, 326: 427–431

[6] Shang Lina, Gao Zongshen. Entire functions defined by Dirichlet series. J Math Anal Appl, 2008, 339: 853–862

[7] Shang Lina, Gao Zongshen. The pits property of entire functions defined by Dirichlet series. Acta Math-ematica Scientia, 2009, 29B: 83–93

[8] Kong Yinying. On some q-orders and q-types of Dirichlet-Hadamard product function. Acta Mathematica Sinica, 2009, 52B: 1165–1172

[9] Huo Yingying, Sun Daochun. The growth of random Dirichlet series. Journal of Mathematical Research and Exposition, 2008, 28(4): 1027–1030

[10] Kong Yinying, Gan Huilin. On orders and types of Dirichlet series of slow growth. Turk J Math, 2010, 34: 1–11

[11] Kong Yinying, Huo Yingying. The random Dirichlet series of slow growth. Chinese Annals of Mathematics, 2012, 33A(3): 323–328 (in Chinese)

[12] Ganti R, Srivastava G S. Approximation of entire functions of slow growth. General Mathematics, 2006, 14(2): 59–76

[13] Luo Xi, Kong Yinying. On orders and types of Laplace-Stieltjes transforms of slow growth. Acta Mathe-matica Scientia, 2012, 32A(3): 601–607 (in Chinese)

[14] Kong Yinying, Yang Yan. On the growth properties of the Laplace-Stieltjes transform. Complex Variables and Elliptic Equations: An International Journal, 2013, DOI: 10.1080/17476933.2013.766174

[15] Kong Yinying, Hong Yong. On the Growth of Laplace-Stieltjes Transforms and Singular Direction of Complex Analysis. Guangzhou: Jinan University Press, 2010

[16] Gu Zhendong, Sun Daochun. The regular growth of Dirichlet series on the whole plane. Acta Mathematica Scientia, 2011, 31A: 991–887 (in Chinese)

ON GENERALIZED ORDERS AND GENERALIZED TYPES OF DIRICHLET SERIES IN THE RIGHT HALF-PLANE

ON GENERALIZED ORDERS AND GENERALIZED TYPES OF DIRICHLET SERIES IN THE RIGHT HALF-PLANE

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 10

[1]	Nihed TRABELSI. SINGULAR LIMIT SOLUTIONS FOR 2-DIMENSIONAL ELLIPTIC SYSTEM WITH SUB-QUADRTATIC CONVECTION TERM[J]. 数学物理学报(英文版), 2018, 38(4): 1174-1194.
[2]	Jasbir Singh MANHAS, Ruhan ZHAO. PRODUCTS OF WEIGHTED COMPOSITION AND DIFFERENTIATION OPERATORS INTO WEIGHTED ZYGMUND AND BLOCH SPACES[J]. 数学物理学报(英文版), 2018, 38(4): 1105-1120.
[3]	刘树君, 陈芳启, 王泽军. EXISTENCE OF GLOBAL L^∞ SOLUTIONS TO A GENERALIZED n×n HYPERBOLIC SYSTEM OF LEROUX TYPE[J]. 数学物理学报(英文版), 2018, 38(3): 889-897.
[4]	赵晓军. LIOUVILLE THEOREM FOR CHOQUARD EQUATION WITH FINITE MORSE INDICES[J]. 数学物理学报(英文版), 2018, 38(2): 673-680.
[5]	A. M. NAGY, N. H. SWEILAM. NUMERICAL SIMULATIONS FOR A VARIABLE ORDER FRACTIONAL CABLE EQUATION[J]. 数学物理学报(英文版), 2018, 38(2): 580-590.
[6]	张建军, 廖良文. A NOTE ON MALMQUIST-YOSIDA TYPE THEOREM OF HIGHER ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2018, 38(2): 471-478.
[7]	袁益让, 程爱杰, 羊丹平, 李长峰, 杨青. CONVERGENCE ANALYSIS OF MIXED VOLUME ELEMENT-CHARACTERISTIC MIXED VOLUME ELEMENT FOR THREE-DIMENSIONAL CHEMICAL OIL-RECOVERY SEEPAGE COUPLED PROBLEM[J]. 数学物理学报(英文版), 2018, 38(2): 519-545.
[8]	Yekini SHEHU, Olaniyi. S. IYIOLA. CONVERGENCE OF HYBRID VISCOSITY AND STEEPEST-DESCENT METHODS FOR PSEUDOCONTRACTIVE MAPPINGS AND NONLINEAR HAMMERSTEIN EQUATIONS[J]. 数学物理学报(英文版), 2018, 38(2): 610-626.
[9]	贾慧芳, 李工宝. MULTIPLICITY AND CONCENTRATION BEHAVIOUR OF POSITIVE SOLUTIONS FOR SCHRÖDINGER-KIRCHHOFF TYPE EQUATIONS INVOLVING THE p-LAPLACIAN IN R^N[J]. 数学物理学报(英文版), 2018, 38(2): 391-418.
[10]	Kuo-Shou CHIU. ASYMPTOTIC EQUIVALENCE OF ALTERNATELY ADVANCED AND DELAYED DIFFERENTIAL SYSTEMS WITH PIECEWISE CONSTANT GENERALIZED ARGUMENTS[J]. 数学物理学报(英文版), 2018, 38(1): 220-236.
[11]	陈化, 陈洪葛, 段忆苪, 胡鑫. LOWER BOUNDS OF DIRICHLET EIGENVALUES FOR A CLASS OF FINITELY DEGENERATE GRUSHIN TYPE ELLIPTIC OPERATORS[J]. 数学物理学报(英文版), 2017, 37(6): 1653-1664.
[12]	迟晓妮, 韦洪锦, 万仲平, 朱志斌. SMOOTHING NEWTON ALGORITHM FOR THE CIRCULAR CONE PROGRAMMING WITH A NONMONOTONE LINE SEARCH[J]. 数学物理学报(英文版), 2017, 37(5): 1262-1280.
[13]	戴蔚, 刘招. CLASSIFICATION OF POSITIVE SOLUTIONS TO A SYSTEM OF HARDY-SOBOLEV TYPE EQUATIONS[J]. 数学物理学报(英文版), 2017, 37(5): 1415-1436.
[14]	刘太顺, 徐庆华. FEKETE AND SZEGÖ INEQUALITY FOR A SUBCLASS OF STARLIKE MAPPINGS OF ORDER α ON THE BOUNDED STARLIKE CIRCULAR DOMAIN IN Cⁿ[J]. 数学物理学报(英文版), 2017, 37(3): 722-731.
[15]	刘和平, 曾宏波. LOCAL ESTIMATE ABOUT SCHRÖDINGER MAXIMAL OPERATOR ON H-TYPE GROUPS[J]. 数学物理学报(英文版), 2017, 37(2): 527-538.