论文标题
对于杂形和整个功能的衍生物的零,必要且充分的条件
Necessary and Sufficient Condition for zeros of Derivative of Meromorphic and Entire Functions
论文作者
论文摘要
本文的主要结果显示了一个全新的必要条件,可以确定一个复杂的复合平面中一个复合变量的全部和子态函数的真实和复杂零。通过使用该定理,我们以新的方式来确定有关XI函数,伽马函数和Digamma函数的衍生物零的一些结果。
The main result of this paper shows a totally new necessary and sufficient condition to determine both real and complex zeros of derivative of all entire and meromorphic functions of one complex variable in the extended complex plane. By using the theorem, we reprove some results about zeros of derivative of Xi function,Gamma function and digamma function in a new way.