[1]涂金,刘翠云,徐洪焱.亚纯函数相对于(r)的[p,q]增长级[J].江西师范大学学报(自然科学版),2012,(01):47-50.
 TU Jin,LIU Cui-yun,XU Hong-yan.Meromorphic Functions of Relative [p,q] Order to (r)[J].,2012,(01):47-50.
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亚纯函数相对于(r)的[p,q]增长级()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2012年01期
页码:
47-50
栏目:
出版日期:
2012-01-01

文章信息/Info

Title:
Meromorphic Functions of Relative [p,q] Order to (r)
作者:
涂金;刘翠云;徐洪焱
1. 江西师范大学数学与信息科学学院, 江西 南昌 330022; 2. 景德镇陶瓷学院信息工程学院, 江西 景德镇 333403
Author(s):
TU Jin LIU Cui-yun XU Hong-yan
关键词:
整函数 亚纯函数 [pq]级 相对[pq]级
Keywords:
entire function meromorphic function [pq] order relative [pq] order
分类号:
O 174.52
文献标志码:
A
摘要:
利用亚纯函数的值分布理论研究了亚纯函数f1, f2的四则运算f1? f2, f1 f2, f1/ f2相对于实值函数?(r)的[p,q]增长级, 推广了原有的一些结果
Abstract:
The relative [p,q] order of meromorphic functions f1? f2, f1 f2, f1/ f2 to ?(r) are investigated by using the theory of value distribution of meromorphic functions, and some results are obtained which are the improvement and extension of previous results.

参考文献/References:

[1] Hayman W. Meromorphic function [M]. Oxford: Clarendon Press, 1964.
[2] 杨乐. 值分布理论及其新研究 [M]. 北京: 科学出版社, 1982.
[3] Juneja O P, Kapoor G P, Bajpai S K. On the (p,q)-order and lower (p,q)-order of an entire function [J]. J Reine Angew Math, 1976, 282: 53-67.
[4] Juneja O P, Kapoor G P, Bajpai S K. On the (p,q)-typer and lower (p,q)-type of an entire function [J]. J Reine Angew Math, 1977, 290: 180-190.
[5] Kasana H S. Existence theorem for proximate type of entire functions with index pair (p,q) [J]. Bull Aus Math Soc, 1987, 35(1): 35-42.
[6] Kasana H S. On the coefficients of entire functions with index pair (p,q) [J]. Bull Math, 1988, 32(3): 235-242.
[7] Kasana H S. The generalized type of entire functions with index pair (p,q) [J]. Comment Math, 1990(2): 215-222.
[8] 涂金, 时玲芝. 系数为[p,q]级整函数的高阶线性微分方程解的增长性 [J]. 江西师范大学学报: 自然科学版, 2010, 34(3): 11-17.
[9] Liu Jie, Tu Jin, Shi Lingzhi. Linear differential equations with entire coefficients of [p,q]-order in the complex plane [J]. J Math Anal Appl, 2010, 372(1): 55–67.
[10] Halvarsson S. Growth properties of entire functions depending on a parameter [J]. Annales Polonici Mathematici, 1996, 14(1): 71-96.
[11] Kiselman C O. Order and type as measures of growth for convex or entire functions [J]. Proc Lond Math Soc, 1993, 66(3): 152-186.
[12] Lahiri B K, Banerjee D. Entire functions of relative order (p,q) [J]. Soochow Journal Math, 2005, 31(4): 497-513.

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更新日期/Last Update: 1900-01-01