亚纯函数差分的亏量与值分布

The Deficiency and Value Distribution of Meromorphic Functions Concerning Difference

研究亚纯函数差分的亏量与值分布,证明了:设c是一个非零有穷复数,f(z)是复平面C上的超越整函数,n是一个正整数.若△_c^nf(z)≠0,则或者f(z)取每个有穷复数无穷多次,或者△_c^nf(z)取每个非零有穷复数无穷多次.

The paper studied the deficiency and value distribution ot meromorpmc functions concerning difference. We mainly proved： let c be a nonzero finite complex number, let f（z） be a transcendental entire function in C, and let n be a positive integer. If △ncf（z）≠0, then either f（z） takes on every complex value infinitely often, or △ncf（z） takes on every non-zero complex value infinitely often.