柯西中值定理涉及两个函数及其导函数之间的关系,其应用是高等数学的一个难点。通过对柯西中值定理结构的分析,得出其可以作用对象的结构特征,解决“为何用”和“如何用”柯西中值定理的问题,有利于帮助学生理解和掌握柯西中值定理的应...柯西中值定理涉及两个函数及其导函数之间的关系,其应用是高等数学的一个难点。通过对柯西中值定理结构的分析,得出其可以作用对象的结构特征,解决“为何用”和“如何用”柯西中值定理的问题,有利于帮助学生理解和掌握柯西中值定理的应用。Due to the fact that Cauchy Mean Value involves the relationship between two functions and their derivatives, its application is a difficult point in advanced mathematics. By analyzing the structure of Cauchy Mean Value, the structural characteristics of the objects it can affect are obtained, solving the problems of “why to use” and “how to use” Cauchy Mean Value, which is conducive to helping students understand and master the application of Cauchy Mean Value.展开更多
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
文摘柯西中值定理涉及两个函数及其导函数之间的关系,其应用是高等数学的一个难点。通过对柯西中值定理结构的分析,得出其可以作用对象的结构特征,解决“为何用”和“如何用”柯西中值定理的问题,有利于帮助学生理解和掌握柯西中值定理的应用。Due to the fact that Cauchy Mean Value involves the relationship between two functions and their derivatives, its application is a difficult point in advanced mathematics. By analyzing the structure of Cauchy Mean Value, the structural characteristics of the objects it can affect are obtained, solving the problems of “why to use” and “how to use” Cauchy Mean Value, which is conducive to helping students understand and master the application of Cauchy Mean Value.
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.
