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ON THE ENTIRE FUNCTION SHARING ONE VALUE CM WITH K-TH DERIVATIVES
CHEN ZONG-XUAN,SHON KWANG HO Korean Mathematical Society 2005 대한수학회지 Vol.42 No.1
In this paper, we investigate some properties of the entire function of the hyper order less than ${\frac}{1}{2}$ sharing one value CM with its k-th derivative.
Another View Point on the Performance Evaluation of an MC-DS-CDMA System
Chen, Joy Iong-Zong,Hsieh, Tai Wen The Korea Institute of Information and Commucation 2009 Journal of communications and networks Vol.11 No.3
The results of performance analysis by adopting the channel scenarios characterized as Weibull fading for an multicarrierdirect sequence-coded division multiple access (MC-DS-CDMA) system are proposed in this investigation. On the other hand, an approximate simple expression with the criterion of bit error rate (BER) versus signal-to-noise ratio (SNR) method is derived for an MC-DS-CDMA system combining with maximal ratio combining (MRC) diversity based on the moment generating function (MGF) formula of Weibull statistics, and it associates with an alternative expression of Gaussian Q-function. Besides, the other point of view on the BER performance evaluation of an MC-DS-CDMA system is not only the assumption of both single-user and multi-user cases applied, but the phenomena of partial band interference (PBI) is also included. Moreover, in order to validate the accuracy in the derived formulas, some of the system parameters, such as Weibull fading parameter (${\beta}$), user number (K), spreading chip number (N), branch number (L), and the PBI (JSR) values, etc., are compared with each other in the numerical results. To the best of author's knowledge, it is a brand new idea which proposes the evaluation of the system performance for an MC-DS-CDMA system over the point of view with Weibull fading channel.
On the entire function sharing one value cm with k-th derivatives
Zong-Xuan Chen,손광호 대한수학회 2005 대한수학회지 Vol.42 No.1
In this paper, we investigate some properties of the entire function of the hyper order less than 1/2 sharing one value CM with its k-th derivative.
HYPER ORDER OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS IN THE DISC
Zong-Xuan Chen,손광호 한국수학교육학회 2009 純粹 및 應用數學 Vol.16 No.1
We investigate the growth of solutions of complex linear differential equations in the unit disc. We obtain properties of solutions of differential equations with entire coeffients. We use the concept of the hyper order to estimate the growth of solutions.
THE FUNCTION ANALYTIC IN THE EXTERIOR OF A DISC AND ITS APPLICATION TO PERIODIC COMPLEX OSCILLATION
Chen, Zong-Xuan,Gao, Shi-An Korean Mathematical Society 2013 대한수학회보 Vol.50 No.5
We consider the value distribution of a class of the functions analytic in the exterior of a disc and their applications to complex oscillation theory of differential equations with periodic coefficients in the complex plane.
Corrosion Characteristics of 20G in the Environment of Heating Surface in Biomass Boilers
Chen Zong,Qimin Wang,Xinzhang Huang 보안공학연구지원센터 2015 International Journal of Smart Home Vol.9 No.7
A corrosion experiment with 20G has been carried out by simulating the environment of heating surface in biomass boilers. Corrosion dynamic curves were obtained by mass gain method. Analysis of the corrosion characteristics were combined with the surface morphology. And the surface morphology and chemical composition of the specimen after experiment were analyzed by using the energy dispersive spectrometer (EDS) and scanning electron microscopy (SEM). The result of experiment show that there is certain corrosion resistance in 20G at a temperature of 500℃, the corrosion strength of chlorine is greater than sulfur during corrosion process, and the deposition corrosion is dominant.
PROPERTIES OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS IN THE COMPLEX PLANE
Zong-Xuan Chen,손광호 한국수학교육학회 2010 純粹 및 應用數學 Vol.17 No.3
We research the properties of solutions of general higher order homoge-neous linear differential equations and apply the hyper order to obtain more precise estimation for the growth of solutions of in¯nite order.