AN INEQUALITY ON THE ZEROS AND POLES OF VECTOR VALUED MEROMORPHIC FUNCTIONS

doi:10.1016/S0252-9602(14)60012-6

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (2): 380-386.doi: 10.1016/S0252-9602(14)60012-6

AN INEQUALITY ON THE ZEROS AND POLES OF VECTOR VALUED MEROMORPHIC FUNCTIONS

吴昭君

School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, China

收稿日期:2012-07-05 出版日期:2014-03-20 发布日期:2014-03-20
基金资助:
The author is supported by the National Natural Science Foundation of China (11201395) and by the Science Foundation of Educational Commission of Hubei Province (Q20132801).

AN INEQUALITY ON THE ZEROS AND POLES OF VECTOR VALUED MEROMORPHIC FUNCTIONS

WU Zhao-Jun

School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, China

Received:2012-07-05 Online:2014-03-20 Published:2014-03-20
Supported by:
The author is supported by the National Natural Science Foundation of China (11201395) and by the Science Foundation of Educational Commission of Hubei Province (Q20132801).

摘要/Abstract

摘要：

The author proves that if f : C→Cⁿ is a transcendental vector valued mero-morphic function of finite order and assume ∑_{a∈Cⁿ∪{∞}}δ(a) = 2, then,
1 − δ(∞)/2 − δ(∞)≤K(f′) ≤2(1 − δ(∞)/2 − δ(∞),
where
K(f ′) = limsup _r→+∞N(r, f ′) + N (r, 0, f′)T(r, f ′).
This result extends the related results for meromorphic function by Singh and Kulkarni.

关键词: Characteristic function, vector valued meromorphic function, zero, pole

Abstract:

Key words: Characteristic function, vector valued meromorphic function, zero, pole

中图分类号:

30D35

吴昭君. AN INEQUALITY ON THE ZEROS AND POLES OF VECTOR VALUED MEROMORPHIC FUNCTIONS[J]. 数学物理学报(英文版), 2014, 34(2): 380-386.

WU Zhao-Jun. AN INEQUALITY ON THE ZEROS AND POLES OF VECTOR VALUED MEROMORPHIC FUNCTIONS[J]. Acta mathematica scientia,Series B, 2014, 34(2): 380-386.

[1]	徐鑫. CONVERGENCE FROM AN ELECTROMAGNETIC FLUID SYSTEM TO THE FULL COMPRESSIBLE MHD EQUATIONS[J]. 数学物理学报(英文版), 2018, 38(3): 805-818.
[2]	Hakho HONG, 王腾. ZERO DISSIPATION LIMIT TO A RIEMANN SOLUTION FOR THE COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS[J]. 数学物理学报(英文版), 2017, 37(5): 1177-1208.
[3]	韩新方, 马丽. ON GENERALIZED FEYNMAN-KAC TRANSFORMATION FOR MARKOV PROCESSES ASSOCIATED WITH SEMI-DIRICHLET FORMS[J]. 数学物理学报(英文版), 2016, 36(6): 1683-1698.
[4]	Hakho HONG. ZERO DISSIPATION LIMIT TO CONTACT DISCONTINUITY FOR THE COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS[J]. 数学物理学报(英文版), 2016, 36(1): 157-172.
[5]	张启侠, 孙启良. A MAXIMUM PRINCIPLE APPROACH TO STOCHASTIC H₂/H_∞ CONTROL WITH RANDOM JUMPS[J]. 数学物理学报(英文版), 2015, 35(2): 348-358.
[6]	陈正新. GENERALIZED DERIVATIONS ON PARABOLIC SUBALGEBRAS OF GENERAL LINEAR LIE ALGEBRAS[J]. 数学物理学报(英文版), 2014, 34(3): 814-828.
[7]	李工宝, 叶红雨. EXISTENCE OF POSITIVE SOLUTIONS TO SEMILINEAR ELLIPTIC SYSTEMS IN RN WITH ZERO MASS[J]. 数学物理学报(英文版), 2013, 33(4): 913-928.
[8]	黄志波, 陈宗煊, 李倩. ON PROPERTIES OF MEROMORPHIC SOLUTIONS FOR COMPLEX DIFFERENCE EQUATION OF MALMQUIST TYPE[J]. 数学物理学报(英文版), 2013, 33(4): 1141-1152.
[9]	崔巍巍, 杨连忠. ZEROS AND FIXED POINTS OF DIFFERENCE OPERATORS OF MEROMORPHIC FUNCTIONS[J]. 数学物理学报(英文版), 2013, 33(3): 773-780.
[10]	蓝双婷, 陈宗煊. ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2013, 33(2): 556-564.
[11]	徐新英. A BLOW-UP CRITERION FOR 3-D NON-RESISTIVE COMPRESSIBLE HEAT-CONDUCTIVE MAGNETOHYDRODYNAMIC EQUATIONS#br# WITH INITIAL VACUUM[J]. 数学物理学报(英文版), 2012, 32(5): 1883-1900.
[12]	陈宗煊. ZEROS OF ENTIRE SOLUTIONS TO COMPLEX LINEAR DIFFERENCE EQUATIONS[J]. 数学物理学报(英文版), 2012, 32(3): 1141-1148.
[13]	Michael Gil’. PERTURBATIONS OF ZEROS OF SOLUTIONS TO SECOND ORDER DIFFERENTIAL EQUATIONS WITH POLYNOMIAL COEFFICIENTS[J]. 数学物理学报(英文版), 2012, 32(3): 1083-1092.
[14]	郑秀敏, 陈宗煊. ON PROPERTIES OF q-DIFFERENCE EQUATIONS[J]. 数学物理学报(英文版), 2012, 32(2): 724-734.
[15]	K.T. Joseph and Manas R. Sahoo. SOME EXACT SOLUTIONS OF 3-DIMENSIONAL ZERO-PRESSURE GAS DYNAMICS SYSTEM[J]. 数学物理学报(英文版), 2011, 31(6): 2107-2121.

AN INEQUALITY ON THE ZEROS AND POLES OF VECTOR VALUED MEROMORPHIC FUNCTIONS

AN INEQUALITY ON THE ZEROS AND POLES OF VECTOR VALUED MEROMORPHIC FUNCTIONS

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 0