本文研究了一个形如fn(z)(αfm(z)+β)的亚纯函数的k阶导数及其移动算子的k阶导数权弱分担值的唯一性问题,其中m,n,k均是正整数,α,β是满足| α |+| β |≠0的常数,将2018年林珊华和林伟川提出的结果推广到更一般的形式。In this paper...本文研究了一个形如fn(z)(αfm(z)+β)的亚纯函数的k阶导数及其移动算子的k阶导数权弱分担值的唯一性问题,其中m,n,k均是正整数,α,β是满足| α |+| β |≠0的常数,将2018年林珊华和林伟川提出的结果推广到更一般的形式。In this paper, we study the uniqueness problem of the weakly weighted sharing values for the k-th derivative of a meromorphic function of the form fn(z)(αfm(z)+β)and the k-th derivative of its translation operator, where m,n,kare all positive integers, and α,βare constants satisfying | α |+| β |≠0the results proposed by Lin Shanhua and Lin Weichuan in 2018 are extended to a more general form.展开更多
文摘本文研究了一个形如fn(z)(αfm(z)+β)的亚纯函数的k阶导数及其移动算子的k阶导数权弱分担值的唯一性问题,其中m,n,k均是正整数,α,β是满足| α |+| β |≠0的常数,将2018年林珊华和林伟川提出的结果推广到更一般的形式。In this paper, we study the uniqueness problem of the weakly weighted sharing values for the k-th derivative of a meromorphic function of the form fn(z)(αfm(z)+β)and the k-th derivative of its translation operator, where m,n,kare all positive integers, and α,βare constants satisfying | α |+| β |≠0the results proposed by Lin Shanhua and Lin Weichuan in 2018 are extended to a more general form.