Janowski星形和凸函数族相关的非线性积分算子性质

In this paper, we consider a general nonlinear integral operator H_(αi),β_i(f_1,..., f_n;g_1,..., g_n)(z). Some results including coefficient problems, univalency condition and radius of convexity for this integral operator are given. Furthermore, we discuss the mapping properties between H_(αi),β_i(f_1,..., f_n; g_1,..., g_n)(z) and subclasses of analytic functions with bounded boundary rotation. The same subjects for some corresponding classes are shown upon specializing the parameters in our main results.     

从属解析函数族的有限阶哈达玛乘积

设P[A,B]={f(z):f(z)(?)(1+Az)/(1-Bz),A+B≠0,|B|≤1,f(z)在单位开圆盘内解析}.定义函数族H_1,H_2,…,H_n的有限阶哈达玛乘积为H_1*H_2*H_3…*H_n(z)={f_1*f_2*f_3*…f_n(z):f_i∈H_i,i=1,2,…,n,n∈Z~+}.讨论并得到了P(A_1,B_1)*P(A_2,B_2)*P(A_3,B_3)*…*P(A_n,B_n)=P(X,Y)的充分必要条件,主要结果是对先前相应研究内容的直接推广.     

Three-Loop Calculations and Low-Energy Effective Action in the Non-Linear Sigma Model

We discuss dimensional regularization and calculate the UV divergences up to three loops in the two-dimensional non-linear sigma model with torsion.     

壳聚糖液晶溶液的性能

制备了聚糖液晶溶液,并采用偏光显微镜(POM)、流变仪、差示扫描量热仪(DSC)等分别对液晶织构、黏度、相转变性能进行了研究.结果表明:壳聚糖呈现典型的胆甾相液晶织构;其溶液黏度随浓度及剪切力的变化规律符合高分子液晶溶液的变化规律;在DSC升、降温曲线上分别存在吸热峰和放热峰.