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

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

Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (1): 175-182.doi: 10.1016/S0252-9602(13)60134-4

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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).

Abstract

CLC Number:

30D30

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.

Trendmd

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[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

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[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

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