关于亚纯函数微分多项式的值分布

Let f(z) be a meromorphic function andΨbe the differential polynomial of f which satisfies the condition of N(r, f) N (r, 1/f) = S(r, f). We obtain several results about the zero point of theΨand those results extend and improve the results of Yang and Yi in this paper.     

数学归纳法选择题

1.欲用数学归纳法的原理到渐2’>。’,,的第一个取值应当是() (A)大于l而小于10的某个整数; (B)大于10的某个整数; (C)10: (D)原不等式不能对某个。值以后的所有自份数成立. 2.当我们运用数学归纳法证明某一个关于自然数,的命题时,在由“,。k时论断成立’。‘月二k十1时论断也成立.的过程中,() (人)必须运用归纳假设; (B)可以部分地运用归纳假设; (C)可以不用归纳假设; (D)卜应当视情况灵活处理.3.用数学归纳法证明:共十一共十.” 月十l月十乙 一l一> 月十月变化是(-!3~~J.,..一一~~一、‘一不二以住甲,K,尤十I俐小即AZ仁边倒石,(A)(B…     

相应于随机自相似分形的记忆函数和分数次积分

For a physics system which exhibits memory, if memory is preserved only at points of random self-similar fractals, we define random memory functions and give the connection between the expectation of flux and the fractional integral. In particular, when memory sets degenerate to Cantor type fractals or non-random self-similar fractals our results coincide with that of Nigmatullin and Ren et al. .     

解析函数的又一等价定理

将Morera定理中的条件∫γf(z)dz=0改为∫f-gds=0,证明其结论仍然成立,并由此得出一个单值复变函数f(z)在G中解析的充要条件,即解析函数的又一等价定理.     

随机流的超过程的状态分解

In this paper, we reconstruct the superprocesses of stochastic flows by martingale method, and prove that if and only if the infinitesimal particles never hit each other, then atomic part and diffuse part of this kind of superprocesses will be also superprocesses of stochastic flows. This result completely answers the open problem in [1].     

广义Cauchy中值定理及其逆定理

将C auchy中值定理的条件进行适当减弱,得到了广义C auchy中值定理,从而推广了C auchy中值定理,并在凸函数的条件下,证明了其逆定理亦成立.